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# Solutions for Chapter 12.5: RATIONAL AND IRRATIONAL ROOTS

## 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 12.5: RATIONAL AND IRRATIONAL ROOTS

Solutions for Chapter 12.5
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##### ISBN: 9780534402303

This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 12.5: RATIONAL AND IRRATIONAL ROOTS have been answered, more than 25472 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. Chapter 12.5: RATIONAL AND IRRATIONAL ROOTS includes 60 full step-by-step 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.

Key Calculus Terms and definitions covered in this textbook
• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Factored form

The left side of u(v + w) = uv + uw.

• Geometric series

A series whose terms form a geometric sequence.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Graphical model

A visible representation of a numerical or algebraic model.

• Imaginary part of a complex number

See Complex number.

• Independent variable

Variable representing the domain value of a function (usually x).

• Inequality symbol or

<,>,<,>.

• Infinite limit

A special case of a limit that does not exist.

See Polynomial function in x.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

• Sum of an infinite series

See Convergence of a series

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Wrapping function

The function that associates points on the unit circle with points on the real number line

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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