 A.3.1: For the polynomial the degree is ________, the leading coefficient ...
 A.3.2: A polynomial with one term is called a ________, while a polynomial...
 A.3.3: To add or subtract polynomials, add or subtract the ________ ______...
 A.3.4: The letters in FOIL stand for the following. F ________ O ________ ...
 A.3.5: The process of writing a polynomial as a product is called ________.
 A.3.6: A polynomial is ________ ________ when each of its factors is prime.
 A.3.7: A ________ ________ ________ is the square of a binomial, and it ha...
 A.3.8: When a polynomial has more than three terms, a method of factoring ...
 A.3.9: 14x 1 2x5
 A.3.10: 7x
 A.3.11: 3 x 2 1 6
 A.3.12: y 25y 3 x 2 1 6
 A.3.13: 3
 A.3.14: 8 t 2 3
 A.3.15: 1 6x 4 4x5
 A.3.16: 3 2x 4
 A.3.17: 4x3y
 A.3.18: x5y 2x2y2 xy 4 4x
 A.3.19: 6x 5 8x 15 x5y
 A.3.20: 2x 2 1 x 2 2x 1 6x 5
 A.3.21: 15x 2 6 8.3x 3 14.7x 2 17 2x 2
 A.3.22: 15.6w4 14w 17.4 16.9w4 9.2w 13 15x
 A.3.23: 3xx 2 2y 3 2 2x 1 15.6w
 A.3.24: y24y 3xx 2 2y 3 2
 A.3.25: 5z3z 1 3
 A.3.26: 3x5x 2 y24y
 A.3.27: x 3x 4 x 5x
 A.3.28: x 5x 10 5z3
 A.3.29: x 2 x 1x 2 x 1 x 3x
 A.3.30: 2x2 x 4x2 3x 2 x 2 x
 A.3.31: x 10x 10 4a 5
 A.3.32: 4a 5b4a 5b 2x2
 A.3.33: 2x 3 2 x
 A.3.34: 8x 32 2x
 A.3.35: x 13 8x
 A.3.36: 3x 2y3 x
 A.3.37: m 3 nm 3 n 3x 2
 A.3.38: x 3y zx 3y z m
 A.3.39: x 3 y2 x
 A.3.40: x 1 y2 x
 A.3.41: 2x 3 6x
 A.3.42: 3z3 6z 2x 2 9z 3
 A.3.43: 3xx 5 8x 5 2 4
 A.3.44: x 3 x 3 3z3 6z 2
 A.3.45: 1 2 x3 2x2 5x
 A.3.46: 3 y 4 5y2 2y
 A.3.47: 2 3 xx 3 4x 3 1 3
 A.3.48: 4 5 yy 1 2y 1 2 3 xx
 A.3.49: x 2 64 2 81
 A.3.50: x x 2 64
 A.3.51: x 1 2 4 x
 A.3.52: 25 z 5 2 x
 A.3.53: x 2 4t 1 2 4x 4 25
 A.3.54: 4t x 2 4t 1 2
 A.3.55: 9u 2 108y 81 2 24uv 16v2 4t
 A.3.56: 36y 9u 2 108y 81 2
 A.3.57: z 2 z 1 4 3
 A.3.58: 9y2 3 2 y 1 16 z
 A.3.59: x 3 8
 A.3.60: 27 x 3
 A.3.61: 27x 3 8
 A.3.62: u3 27v3 2
 A.3.63: x 2 x 2 T
 A.3.64: s x 2 5s 6 2
 A.3.65: 20 y y 2
 A.3.66: 24 5z z 2 2
 A.3.67: 3x 2 x 1 2 5x 2
 A.3.68: 2x 3x 2 x 1 2
 A.3.69: 5x 2 3z 2 2 26x 5 2x
 A.3.70: 9z 5x 2 3z 2 2
 A.3.71: x 2 3 x 2 2x 2
 A.3.72: x 3 5x x 2 5x 25 3
 A.3.73: 2x 3 x 2 6x 3 x
 A.3.74: 6 2x 3x3 x4 2
 A.3.75: x 5 2x 3 x 2 2 3
 A.3.76: 8x5 6x2 12x 9 6
 A.3.77: 2x 2 x 9x 9 8x5
 A.3.78: 6x 2x 2 x 2 2
 A.3.79: 6x 2 2 x 15 6
 A.3.80: 12x 6x 2 13x 1 2
 A.3.81: 6x 2 48 2 54
 A.3.82: 12x 6x 2 48
 A.3.83: x 3 16x 3 x2
 A.3.84: x x 3 16x
 A.3.85: x 2 2x 1
 A.3.86: 16 6x x 2 x
 A.3.87: 2x 2 4x 2x 3
 A.3.88: 13x 6 5x 2 2x
 A.3.89: 5 x 5x 2 x 3
 A.3.90: 3u 2u2 6 u3 5
 A.3.91: 53 4x 2 83 4x5x 1 3u
 A.3.92: 2x 1x 3 2 3x 1 2 x 3 53 4x 2
 A.3.93: x4 42x 13 2x 2x 14 4x3 2x 1x 3 2
 A.3.94: x3 3x2 12 2x x2 13 3x2 x4 42x 13
 A.3.95: Geometry The cylindrical shell shown in the figure has a volume of
 A.3.96: Chemistry The rate of changeof an autocatalyticchemical reaction is...
 A.3.97: The product of two binomials is always a seconddegree polynomial.
 A.3.98: The sum of two binomials is always a binomial.
 A.3.99: The difference of two perfect squares can be factored as the produc...
 A.3.100: The sum of two perfect squares can be factored as the binomial sum ...
 A.3.101: Degree of a Product Find the degree of the product of two polynomia...
 A.3.102: Degree of a Sum Find the degree of the sum of two polynomials of de...
 A.3.103: Think About It When the polynomial is subtracted from an unknown po...
 A.3.104: Logical Reasoning Verify that is not equal to by letting and and ev...
 A.3.105: Think About It Give an example of a polynomial that is prime with r...
 A.3.106: HOW DO YOU SEE IT? The figure shows a large square with an area of ...
 A.3.107: x2n y2n
 A.3.108: x3n y3n x2
Solutions for Chapter A.3: Polynomials and Factoring
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter A.3: Polynomials and Factoring
Get Full SolutionsPrecalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter A.3: Polynomials and Factoring includes 108 full stepbystep solutions. Since 108 problems in chapter A.3: Polynomials and Factoring have been answered, more than 33975 students have viewed full stepbystep solutions from this chapter.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

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

Horizontal component
See Component form of a vector.

Horizontal translation
A shift of a graph to the left or right.

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Index
See Radical.

Lower bound of f
Any number b for which b < ƒ(x) for all x in the domain of ƒ

Mean (of a set of data)
The sum of all the data divided by the total number of items

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Subtraction
a  b = a + (b)

Terms of a sequence
The range elements of a sequence.

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Vertical stretch or shrink
See Stretch, Shrink.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.