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# Solutions for Chapter 2: Polynomial and Rational Functions

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 2: Polynomial and Rational Functions

Solutions for Chapter 2
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##### ISBN: 9780618643448

This textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 153 problems in chapter 2: Polynomial and Rational Functions have been answered, more than 31454 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2: Polynomial and Rational Functions includes 153 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Bar chart

A rectangular graphical display of categorical data.

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Dependent variable

Variable representing the range value of a function (usually y)

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• nth root of unity

A complex number v such that vn = 1

• Objective function

See Linear programming problem.

• Parametrization

A set of parametric equations for a curve.

• PH

The measure of acidity

• Quantitative variable

A variable (in statistics) that takes on numerical values for a characteristic being measured.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Variable

A letter that represents an unspecified number.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

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