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# Solutions for Chapter 12: Roots of Polynomial Equations ## Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition

ISBN: 9780534402303 Solutions for Chapter 12: Roots of Polynomial Equations

Solutions for Chapter 12
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##### ISBN: 9780534402303

This expansive textbook survival guide covers the following chapters and their solutions. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. Chapter 12: Roots of Polynomial Equations includes 94 full step-by-step solutions. Since 94 problems in chapter 12: Roots of Polynomial Equations have been answered, more than 25426 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign), edition: 4.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Arctangent function

See Inverse tangent function.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Conversion factor

A ratio equal to 1, used for unit conversion

• Descriptive statistics

The gathering and processing of numerical information

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• n-set

A set of n objects.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Real axis

See Complex plane.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Zero factorial

See n factorial.

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