Calculus

Precalculus: Graphical, Numerical, Algebraic | 8th Edition | ISBN: 9780321656933 | Authors: Franklin Demana, Bert K. Waits, Gregory D. Foley, Daniel Kennedy, Dave Bock
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Author: Franklin Demana, Bert K. Waits, Gregory D. Foley, Daniel Kennedy, Dave Bock
Publisher: Pearson
ISBN: 9780321656933
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Chapter 0 Problems

Chapter: 0 Problem: A.1.86

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 4, write the polynomial in standard form and state its degree. \(2 x-1+3 x^{2}\)

Chapter: 0 Problem: A.1.87

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 4, write the polynomial in standard form and state its degree. \(x^{2}-2 x-2 x^{3}+1\)

Chapter: 0 Problem: A.1.88

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 4, write the polynomial in standard form and state its degree. \(1-x^{7}\)

Chapter: 0 Problem: A.1.89

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 4, write the polynomial in standard form and state its degree. \(x^{2}-x^{4}+x-3\)

Chapter: 0 Problem: A.1.90

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, state whether the expression is a polynomial. \(x^{3}-2 x^{2}+x^{-1}\)

Chapter: 0 Problem: A.1.91

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, state whether the expression is a polynomial. \(\frac{2 x-4}{x}\)

Chapter: 0 Problem: A.1.92

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, state whether the expression is a polynomial. \(\left(x^{2}+x+1\right)^{2}\)

Chapter: 0 Problem: A.1.93

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, state whether the expression is a polynomial. \(1-3 x+x^{4}\)

Chapter: 0 Problem: A.1.94

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(\left(x^{2}-3 x+7\right)+\left(3 x^{2}+5 x-3\right)\)

Chapter: 0 Problem: A.1.95

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(\left(-3 x^{2}-5\right)-\left(x^{2}+7 x+12\right)\)

Chapter: 0 Problem: A.1.96

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(\left(4 x^{3}-x^{2}+3 x\right)-\left(x^{3}+12 x-3\right)\)

Chapter: 0 Problem: A.1.97

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(-\left(y^{2}+2 y-3\right)+\left(5 y^{2}+3 y+4\right)\)

Chapter: 0 Problem: A.1.98

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(2 x\left(x^{2}-x+3\right)\)

Chapter: 0 Problem: A.1.99

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(y^{2}\left(2 y^{2}+3 y-4\right)\)

Chapter: 0 Problem: A.1.100

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(-3 u(4 u-1)\)

Chapter: 0 Problem: A.1.101

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(-4 v\left(2-3 v^{3}\right)\)

Chapter: 0 Problem: A.1.102

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(\left(2-x-3 x^{2}\right)(5 x)\)

Chapter: 0 Problem: A.1.103

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 918, simplify the expression. Write your answer in standard form. \(\left(1-x^{2}+x^{4}\right)(2 x)\)

Chapter: 0 Problem: A.1.104

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((x-2)(x+5)\)

Chapter: 0 Problem: A.1.105

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((2 x+3)(4 x+1)\)

Chapter: 0 Problem: A.1.106

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((2 x+3)(4 x+1)\)

Chapter: 0 Problem: A.1.107

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((2 x-3)(2 x+3)\)

Chapter: 0 Problem: A.1.108

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((3 x-y)(3 x+y)\)

Chapter: 0 Problem: A.1.109

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((3-5 x)^{2}\)

Chapter: 0 Problem: A.1.110

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((3 x+4 y)^{2}\)

Chapter: 0 Problem: A.1.111

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((x-1)^{3}\)

Chapter: 0 Problem: A.1.112

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((2 u-v)^{3}\)

Chapter: 0 Problem: A.1.113

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((u+3 v)^{3}\)

Chapter: 0 Problem: A.1.114

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(2 x^{3}-3 y\right)\left(2 x^{3}+3 y\right)\)

Chapter: 0 Problem: A.1.115

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(5 x^{3}-1\right)^{2}\)

Chapter: 0 Problem: A.1.116

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(x^{2}-2 x+3\right)(x+4)\)

Chapter: 0 Problem: A.1.117

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(x^{2}+3 x-2\right)(x-3)\)

Chapter: 0 Problem: A.1.118

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(x^{2}+x-3\right)\left(x^{2}+x+1\right)\)

Chapter: 0 Problem: A.1.119

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(2 x^{2}-3 x+1\right)\left(x^{2}-x+2\right)\)

Chapter: 0 Problem: A.1.120

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((x-\sqrt{2})(x+\sqrt{2})\)

Chapter: 0 Problem: A.1.121

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(x^{1 / 2}-y^{1 / 2}\right)\left(x^{1 / 2}+y^{1 / 2}\right)\)

Chapter: 0 Problem: A.1.122

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((\sqrt{u}+\sqrt{v})(\sqrt{u}-\sqrt{v})\)

Chapter: 0 Problem: A.1.123

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \(\left(x^{2}-\sqrt{3}\right)\left(x^{2}+\sqrt{3}\right)\)

Chapter: 0 Problem: A.1.124

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((x-2)\left(x^{2}+2 x+4\right)\)

Chapter: 0 Problem: A.1.125

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1940, expand the product. Use vertical alignment in Exercises 33 and 34. \((x+1)\left(x^{2}-x+1\right)\)

Chapter: 0 Problem: A.1.126

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, factor out the common factor. 5x - 15

Chapter: 0 Problem: A.1.127

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, factor out the common factor. \(5 x^{3}-20 x\)

Chapter: 0 Problem: A.1.128

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, factor out the common factor. \(y z^{3}-3 y z^{2}+2 y z\)

Chapter: 0 Problem: A.1.129

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, factor out the common factor. \(2 x(x+3)-5(x+3)\)

Chapter: 0 Problem: A.1.130

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4548, factor the difference of two squares. \(z^{2}-49\)

Chapter: 0 Problem: A.1.131

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4548, factor the difference of two squares. \(9 y^{2}-16\)

Chapter: 0 Problem: A.1.132

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4548, factor the difference of two squares. \(64-25 y^{2}\)

Chapter: 0 Problem: A.1.133

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4548, factor the difference of two squares. \(16-(x+2)^{2}\)

Chapter: 0 Problem: A.1.134

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, factor the perfect square trinomial. \(y^{2}+8 y+16\)

Chapter: 0 Problem: A.1.135

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, factor the perfect square trinomial. \(4 z^{2}-4 z+1\)

Chapter: 0 Problem: A.1.136

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, factor the perfect square trinomial. \(4 z^{2}-4 z+1\)

Chapter: 0 Problem: A.1.137

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, factor the perfect square trinomial. \(9 z^{2}-24 z+16\)

Chapter: 0 Problem: A.1.138

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(y^{3}-8\)

Chapter: 0 Problem: A.1.139

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(z^{3}+64\)

Chapter: 0 Problem: A.1.140

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(27 y^{3}-8\)

Chapter: 0 Problem: A.1.141

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(64 z^{3}+27\)

Chapter: 0 Problem: A.1.142

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(1-x^{3}\)

Chapter: 0 Problem: A.1.143

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, factor the sum or difference of two cubes. \(27-y^{3}\)

Chapter: 0 Problem: A.1.144

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(x^{2}+9 x+14\)

Chapter: 0 Problem: A.1.145

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(y^{2}-11 y+30\)

Chapter: 0 Problem: A.1.146

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(z^{2}-5 z-24\)

Chapter: 0 Problem: A.1.147

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(6 t^{2}+5 t+1\)

Chapter: 0 Problem: A.1.148

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(14 u^{2}-33 u-5\)

Chapter: 0 Problem: A.1.149

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(10 v^{2}+23 v+12\)

Chapter: 0 Problem: A.1.150

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(12 x^{2}+11 x-15\)

Chapter: 0 Problem: A.1.151

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(2 x^{2}-3 x y+y^{2}\)

Chapter: 0 Problem: A.1.152

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(6 x^{2}+11 x y-10 y^{2}\)

Chapter: 0 Problem: A.1.153

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5968, factor the trinomial. \(15 x^{2}+29 x y-14 y^{2}\)

Chapter: 0 Problem: A.1.154

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(x^{3}-4 x^{2}+5 x-20\)

Chapter: 0 Problem: A.1.155

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(2 x^{3}-3 x^{2}+2 x-3\)

Chapter: 0 Problem: A.1.156

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(x^{6}-3 x^{4}+x^{2}-3\)

Chapter: 0 Problem: A.1.157

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(x^{6}+2 x^{4}+x^{2}+2\)

Chapter: 0 Problem: A.1.158

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(2 a c+6 a d-b c-3 b d\)

Chapter: 0 Problem: A.1.159

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6974, factor by grouping. \(3 u w+12 u z-2 v w-8 v z\)

Chapter: 0 Problem: A.1.160

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(x^{3}+x\)

Chapter: 0 Problem: A.1.161

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(4 y^{3}-20 y^{2}+25 y\)

Chapter: 0 Problem: A.1.162

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(18 y^{3}+48 y^{2}+32 y\)

Chapter: 0 Problem: A.1.163

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(2 x^{3}-16 x^{2}+14 x\)

Chapter: 0 Problem: A.1.164

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(16 y-y^{3}\)

Chapter: 0 Problem: A.1.165

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(3 x^{4}+24 x\)

Chapter: 0 Problem: A.1.166

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(5 y+3 y^{2}-2 y^{3}\)

Chapter: 0 Problem: A.1.167

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(z-8 z^{4}\)

Chapter: 0 Problem: A.1.168

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(2(5 x+1)^{2}-18\)

Chapter: 0 Problem: A.1.169

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(5(2 x-3)^{2}-20\)

Chapter: 0 Problem: A.1.170

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(12 x^{2}+22 x-20\)

Chapter: 0 Problem: A.1.171

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(3 x^{2}+13 x y-10 y^{2}\)

Chapter: 0 Problem: A.1.172

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(2 a c-2 b d+4 a d-b c\)

Chapter: 0 Problem: A.1.173

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(6 a c-2 b d+4 b c-3 a d\)

Chapter: 0 Problem: A.1.174

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(x^{3}-3 x^{2}-4 x+12\)

Chapter: 0 Problem: A.1.175

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7590, factor completely. \(x^{4}-4 x^{3}-x^{2}+4 x\)

Chapter: 0 Problem: A.1.176

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Writing to Learn Show that the grouping \((2 a c+b c)-(2 a d+b d)\) leads to the same factorization as in Example 11b. Explain why the third possibility, \((2 a c-b d)+(-2 a d+b c)\) does not lead to a factorization.

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