 P.5.P5.1: In Exercises 1  10, factor out the greatest common factor.18x + 27
 P.5.P5.2: In Exercises 1  10, factor out the greatest common factor.16x  24
 P.5.P5.3: In Exercises 1  10, factor out the greatest common factor.3x2 + 6x
 P.5.P5.4: In Exercises 1  10, factor out the greatest common factor. 4x2 + 8x
 P.5.P5.5: In Exercises 1  10, factor out the greatest common factor.9x4  18...
 P.5.P5.6: In Exercises 1  10, factor out the greatest common factor.6x4  18...
 P.5.P5.7: In Exercises 1  10, factor out the greatest common factor.x1x + 52...
 P.5.P5.8: In Exercises 1  10, factor out the greatest common factor.x12x + 1...
 P.5.P5.9: In Exercises 1  10, factor out the greatest common factor.x 12x + ...
 P.5.P5.10: In Exercises 1  10, factor out the greatest common factor. x 12x +...
 P.5.P5.11: In Exercises 11 16, factor by groupingx + 4x  123  2x2 + 5x  10
 P.5.P5.12: In Exercises 11 16, factor by groupingx3  3x2 x + 4x  12
 P.5.P5.13: In Exercises 11 16, factor by groupingx  2x  123  x2 + 2x  2
 P.5.P5.14: In Exercises 11 16, factor by groupingx3 + 6x2 x  2x  12
 P.5.P5.15: In Exercises 11 16, factor by grouping3x  5x + 53  2x2  6x + 4
 P.5.P5.16: In Exercises 11 16, factor by groupingx3  x23x  5x + 5
 P.5.P5.17: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.18: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.19: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.20: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.21: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.22: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.23: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.24: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.25: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.26: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.27: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.28: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.29: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.30: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.31: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.32: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.33: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.34: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.35: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.36: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.37: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.38: In Exercises 17  38, factor each trinomial, or state that the trin...
 P.5.P5.39: In Exercises 39 48, factor the difference of two squares.x2100
 P.5.P5.40: In Exercises 39 48, factor the difference of two squares.x2144
 P.5.P5.41: In Exercises 39 48, factor the difference of two squares.3x249
 P.5.P5.42: In Exercises 39 48, factor the difference of two squares.64x281
 P.5.P5.43: In Exercises 39 48, factor the difference of two squares.9x2  25y2
 P.5.P5.44: In Exercises 39 48, factor the difference of two squares.36x2  49y2
 P.5.P5.45: In Exercises 39 48, factor the difference of two squares.x 416
 P.5.P5.46: In Exercises 39 48, factor the difference of two squares.x41
 P.5.P5.47: In Exercises 39 48, factor the difference of two squares.16x81
 P.5.P5.48: In Exercises 39 48, factor the difference of two squares.81x41
 P.5.P5.49: In Exercises 49  56, factor each perfect square trinomial.x22x+1
 P.5.P5.50: In Exercises 49  56, factor each perfect square trinomial.x24x+4
 P.5.P5.51: In Exercises 49  56, factor each perfect square trinomial.x214x+49
 P.5.P5.52: In Exercises 49  56, factor each perfect square trinomial. x2 10x...
 P.5.P5.53: In Exercises 49  56, factor each perfect square trinomial. 4x2+ 4x...
 P.5.P5.54: In Exercises 49  56, factor each perfect square trinomial.25x2+ 4x...
 P.5.P5.55: In Exercises 49  56, factor each perfect square trinomial. 9x2 6x...
 P.5.P5.56: In Exercises 49  56, factor each perfect square trinomial. 64x216x...
 P.5.P5.57: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.58: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.59: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.60: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.61: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.62: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.63: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.64: In Exercises 57 64, factor using the formula for the sum or differe...
 P.5.P5.65: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.66: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.67: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.68: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.69: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.70: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.71: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.72: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.73: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.74: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.75: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.76: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.77: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.78: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.79: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.80: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.81: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.82: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.83: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.84: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.85: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.86: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.87: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.88: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.89: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.90: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.91: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.92: In Exercises 65 92, factor completely, or state that the polynomial...
 P.5.P5.93: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.94: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.95: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.96: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.97: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.98: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.99: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.100: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.101: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.102: In Exercises 93 102, factor and simplify each algebraic expression
 P.5.P5.103: In Exercises 103 114, factor completely
 P.5.P5.104: In Exercises 103 114, factor completely
 P.5.P5.105: In Exercises 103 114, factor completely
 P.5.P5.106: In Exercises 103 114, factor completely
 P.5.P5.107: In Exercises 103 114, factor completely
 P.5.P5.108: In Exercises 103 114, factor completely
 P.5.P5.109: In Exercises 103 114, factor completely
 P.5.P5.110: In Exercises 103 114, factor completely
 P.5.P5.111: In Exercises 103 114, factor completely
 P.5.P5.112: In Exercises 103 114, factor completely
 P.5.P5.113: In Exercises 103 114, factor completely
 P.5.P5.114: In Exercises 103 114, factor completely
 P.5.P5.115: Your computer store is having an incredible sale. The price on one ...
 P.5.P5.116: Your local electronics store is having an endoftheyear sale. The...
 P.5.P5.117: In Exercises 117 120, a. Write an expression for the area of the sh...
 P.5.P5.118: In Exercises 117 120, a. Write an expression for the area of the sh...
 P.5.P5.119: In Exercises 117 120, a. Write an expression for the area of the sh...
 P.5.P5.120: In Exercises 117 120, a. Write an expression for the area of the sh...
 P.5.P5.121: In Exercises 121 122, find the formula for the volume of the region...
 P.5.P5.122: In Exercises 121 122, find the formula for the volume of the region...
 P.5.P5.123: Using an example, explain how to factor out the greatest common fac...
 P.5.P5.124: Suppose that a polynomial contains four terms. Explain how to use f...
 P.5.P5.125: Explain how to factor
 P.5.P5.126: Explain how to factor the difference of two squares. Provide an exa...
 P.5.P5.127: What is a perfect square trinomial and how is it factored?
 P.5.P5.128: Explain how to factor
 P.5.P5.129: What does it mean to factor completely
 P.5.P5.130: Although appears in both and I ll need to factor in different ways ...
 P.5.P5.131: You grouped the polynomial s terms using different groupings than I...
 P.5.P5.132: I factored completely and obtained
 P.5.P5.133: First factoring out the greatest common factor makes it easier for ...
 P.5.P5.134: In Exercises 134  137, determine whether each statement is true or...
 P.5.P5.135: In Exercises 134  137, determine whether each statement is true or...
 P.5.P5.136: In Exercises 134  137, determine whether each statement is true or...
 P.5.P5.137: In Exercises 134  137, determine whether each statement is true or...
 P.5.P5.138: In Exercises 138  141, factor completely x2n+ 6xn + 8
 P.5.P5.139: In Exercises 138  141, factor completely x24x + 5
 P.5.P5.140: In Exercises 138  141, factor completely x4  y4  2x3y + 2xy3
 P.5.P5.141: In Exercises 138  141, factor completely 52121x + 5212  1x + 52...
 P.5.P5.142: In Exercises 142 143, find all integers so that the trinomial can b...
 P.5.P5.143: In Exercises 142 143, find all integers so that the trinomial can b...
 P.5.P5.144: Factor the numerator and the denominator. Then simplify by dividing...
 P.5.P5.145: In Exercises 145 146, perform the indicated operation. Where possib...
 P.5.P5.146: In Exercises 145 146, perform the indicated operation. Where possib...
Solutions for Chapter P.5: Factoring Polynomials
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter P.5: Factoring Polynomials
Get Full SolutionsPrecalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter P.5: Factoring Polynomials includes 146 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 146 problems in chapter P.5: Factoring Polynomials have been answered, more than 69478 students have viewed full stepbystep solutions from this chapter.

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Discriminant
For the equation ax 2 + bx + c, the expression b2  4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2  4AC

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Multiplication property of equality
If u = v and w = z, then uw = vz

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Parameter interval
See Parametric equations.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

Right triangle
A triangle with a 90° angle.

Singular matrix
A square matrix with zero determinant

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Solve by substitution
Method for solving systems of linear equations.

yintercept
A point that lies on both the graph and the yaxis.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.