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# Solutions for Chapter A.3: Polynomials and Factoring ## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202 Solutions for Chapter A.3: Polynomials and Factoring

Solutions for Chapter A.3
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##### ISBN: 9781133947202

Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter A.3: Polynomials and Factoring includes 108 full step-by-step solutions. Since 108 problems in chapter A.3: Polynomials and Factoring have been answered, more than 33975 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Equal complex numbers

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

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Focal width of a parabola

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

• Horizontal component

See Component form of a vector.

• Horizontal translation

A shift of a graph to the left or right.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Index

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Subtraction

a - b = a + (-b)

• Terms of a sequence

The range elements of a sequence.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Vertical stretch or shrink

See Stretch, Shrink.

• y-axis

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

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