Question 1

Factor.
-$81-126 x+49 x^{2}$

Accepted Answer

A)  $(49 x-9)(x-9)$ 
B)  $(7 x+9)^{2}$ 
C)  Prime 
D)  $(7 x-9)^{2}$ 
A)  $(49 x-9)(x-9)$ 
B)  $(7 x+9)^{2}$ 
C)  Prime 
D)  $(7 x-9)^{2}$

Question 2

Factor completely.
-$108 \mathrm{a}^{4}-147 \mathrm{~b}^{2}$

Accepted Answer

A)  $3\left(6 a^{2}-7 b\right)^{2}$ 
B)  $3\left(6 a^{2}+7 b\right)\left(6 a^{2}-7 b\right)$ 
C)  $\left(18 a^{2}+21 b\right)\left(6 a^{2}-7 b\right)$ 
D)  $3\left(6 a^{2}+7 b\right)^{2}$ 
A)  $3\left(6 a^{2}-7 b\right)^{2}$ 
B)  $3\left(6 a^{2}+7 b\right)\left(6 a^{2}-7 b\right)$ 
C)  $\left(18 a^{2}+21 b\right)\left(6 a^{2}-7 b\right)$ 
D)  $3\left(6 a^{2}+7 b\right)^{2}$

Question 3

Determine whether the following is a difference of squares.
-$81 x^{2}-17 y^{2}$

Accepted Answer

A) True 
 B)False

Question 4

Factor.
-$21 x^{2}-91 x-70$

Accepted Answer

A)  $7(3 x+2)(x-5)$ 
B)  $7(3 x-2)(x+5)$ 
C)  $(3 x+2)(7 x-35)$ 
D)  $(21 x+14)(x-5)$ 
A)  $7(3 x+2)(x-5)$ 
B)  $7(3 x-2)(x+5)$ 
C)  $(3 x+2)(7 x-35)$ 
D)  $(21 x+14)(x-5)$

Question 5

Factor completely.
-$4 x^{2}-49$

Accepted Answer

A)  $(4 x+1)(x-49)$ 
B)  $(2 x+7)^{2}$ 
C)  $(2 x-7)^{2}$ 
D)  $(2 x+7)(2 x-7)$ 
A)  $(4 x+1)(x-49)$ 
B)  $(2 x+7)^{2}$ 
C)  $(2 x-7)^{2}$ 
D)  $(2 x+7)(2 x-7)$

Question 6

Determine whether the following is a difference of squares.
-$-100 x^{2}+100 y^{2}$

Accepted Answer

A) True 
 B)False

Question 7

Find the $x$-intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$
-y = 2x2 - 5x - 12

Accepted Answer

A)  $(4,0),\left(-\frac{3}{2}, 0\right)$ 
B)  $(4,0),(-1,0)$, 
C)  $(4,0),\left(-\frac{5}{2}, 0\right)$ 
D)  $(3,0),\left(-\frac{3}{2}, 0\right)$ 
A)  $(4,0),\left(-\frac{3}{2}, 0\right)$ 
B)  $(4,0),(-1,0)$, 
C)  $(4,0),\left(-\frac{5}{2}, 0\right)$ 
D)  $(3,0),\left(-\frac{3}{2}, 0\right)$

Question 8

Factor completely.
-$x^{2}-x-20$

Accepted Answer

A)  $(x+5)(x-4)$ 
B)  $(x-5)(x+5)$ 
C)  $(x+4)(x-5)$ 
D)  $(x+1)(x-9)$ 
A)  $(x+5)(x-4)$ 
B)  $(x-5)(x+5)$ 
C)  $(x+4)(x-5)$ 
D)  $(x+1)(x-9)$

Question 9

Factor completely.
-$180 x^{2}-125$

Accepted Answer

A)  $(30 x-25)(6 x+5)$ 
B)  $5(6 x-5)(6 x+5)$ 
C)  $(6 x-5)(30 x+25)$ 
D)  $5(6 x+5)^{2}$ 
A)  $(30 x-25)(6 x+5)$ 
B)  $5(6 x-5)(6 x+5)$ 
C)  $(6 x-5)(30 x+25)$ 
D)  $5(6 x+5)^{2}$

Question 10

Factor.
-$6 x^{2}+13 x+6$

Accepted Answer

A)  $(6 x+2)(x+3)$ 
B)  $(3 x-2)(2 x-3)$ 
C)  Prime 
D)  $(3 x+2)(2 x+3)$ 
A)  $(6 x+2)(x+3)$ 
B)  $(3 x-2)(2 x-3)$ 
C)  Prime 
D)  $(3 x+2)(2 x+3)$

Question 11

Factor.
-$3 x^{2}-9 x y-12 y^{2}$

Accepted Answer

A)  $3(x+y)(x-4 y)$ 
B)  $(x-y)(3 x+9 y)$ 
C)  $(3 x-3 y)(x+4 y)$ 
D)  $3(x-y)(x+4 y)$ 
A)  $3(x+y)(x-4 y)$ 
B)  $(x-y)(3 x+9 y)$ 
C)  $(3 x-3 y)(x+4 y)$ 
D)  $3(x-y)(x+4 y)$

Question 12

Factor completely.
-$2 x^{3}+18 x^{2}+5 x+45$

Accepted Answer

A)  $(2 x+5)(2 x-5)(x+9)$ 
B)  $\left(2 x^{2}-5\right)(x-9)$ 
C)  $\left(x^{2}+5\right)(2 x+9)$ 
D)  $\left(2 x^{2}+5\right)(x+9)$ 
A)  $(2 x+5)(2 x-5)(x+9)$ 
B)  $\left(2 x^{2}-5\right)(x-9)$ 
C)  $\left(x^{2}+5\right)(2 x+9)$ 
D)  $\left(2 x^{2}+5\right)(x+9)$

Factor. - $81-126 x+49 x^{2}$

Factor completely. - $108 \mathrm{a}^{4}-147 \mathrm{~b}^{2}$

Determine whether the following is a difference of squares. - $81 x^{2}-17 y^{2}$

Factor. - $21 x^{2}-91 x-70$

Factor completely. - $4 x^{2}-49$

Determine whether the following is a difference of squares. - $-100 x^{2}+100 y^{2}$

Find the $x$ -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$ -y = 2x² - 5x - 12 $Find the x -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) y=x^{2}-x-72 -y = 2x<sup>2</sup> - 5x - 12$

Factor completely. - $x^{2}-x-20$

Factor completely. - $180 x^{2}-125$

Factor. - $6 x^{2}+13 x+6$

Factor. - $3 x^{2}-9 x y-12 y^{2}$

Factor completely. - $2 x^{3}+18 x^{2}+5 x+45$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 11: Polynomials: Factoring

Factor. - 81−126x+49x281-126 x+49 x^{2}81−126x+49x2

Factor completely. - 108a4−147 b2108 \mathrm{a}^{4}-147 \mathrm{~b}^{2}108a4−147 b2

Determine whether the following is a difference of squares. - 81x2−17y281 x^{2}-17 y^{2}81x2−17y2

Factor. - 21x2−91x−7021 x^{2}-91 x-7021x2−91x−70

Factor completely. - 4x2−494 x^{2}-494x2−49

Determine whether the following is a difference of squares. - −100x2+100y2-100 x^{2}+100 y^{2}−100x2+100y2

Find the xxx -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) y=x2−x−72y=x^{2}-x-72y=x2−x−72 -y = 2x2 - 5x - 12

Factor completely. - x2−x−20x^{2}-x-20x2−x−20

Factor completely. - 180x2−125180 x^{2}-125180x2−125

Factor. - 6x2+13x+66 x^{2}+13 x+66x2+13x+6

Factor. - 3x2−9xy−12y23 x^{2}-9 x y-12 y^{2}3x2−9xy−12y2

Factor completely. - 2x3+18x2+5x+452 x^{3}+18 x^{2}+5 x+452x3+18x2+5x+45