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# Solutions for Chapter Chapter 4: Polynomial and Rational Functions

## Full solutions for Algebra and Trigonometry, | 3rd Edition

ISBN: 9780840068132

Solutions for Chapter Chapter 4: Polynomial and Rational Functions

Solutions for Chapter Chapter 4
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##### ISBN: 9780840068132

Chapter Chapter 4: Polynomial and Rational Functions includes 140 full step-by-step solutions. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Since 140 problems in chapter Chapter 4: Polynomial and Rational Functions have been answered, more than 45985 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Compounded monthly

See Compounded k times per year.

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Equal complex numbers

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

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Polar axis

See Polar coordinate system.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Reference angle

See Reference triangle

• Root of a number

See Principal nth root.

• Second

Angle measure equal to 1/60 of a minute.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Vertical line test

A test for determining whether a graph is a function.

• y-axis

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

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