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# Solutions for Chapter P.5: Factoring Polynomials

## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845

Solutions for Chapter P.5: Factoring Polynomials

Solutions for Chapter P.5
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##### ISBN: 9780321559845

Precalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter P.5: Factoring Polynomials includes 146 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 146 problems in chapter P.5: Factoring Polynomials have been answered, more than 69478 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Law of cosines

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

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Parameter interval

See Parametric equations.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Right triangle

A triangle with a 90° angle.

• Singular matrix

A square matrix with zero determinant

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Solve by substitution

Method for solving systems of linear equations.

• y-intercept

A point that lies on both the graph and the y-axis.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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