Question 1

Solve by factoring and using the principle of zero products.
-$25 y^{2}+35 y+12=0$

Accepted Answer

A)  $-\frac{3}{25},-\frac{1}{3}$ 
B)  $\frac{3}{5}, \frac{4}{5}$ 
C)  $\frac{3}{5},-\frac{4}{5}$ 
D)  $-\frac{3}{5},-\frac{4}{5}$ 
A)  $-\frac{3}{25},-\frac{1}{3}$ 
B)  $\frac{3}{5}, \frac{4}{5}$ 
C)  $\frac{3}{5},-\frac{4}{5}$ 
D)  $-\frac{3}{5},-\frac{4}{5}$

Question 2

Factor completely.
-$169 \mathrm{k}^{2}-36 \mathrm{~m}^{2}$

Accepted Answer

A)  Prime 
B)  $(13 k+6 m)^{2}$ 
C)  $(13 k-6 m)^{2}$ 
D)  $(13 k+6 m)(13 k-6 m)$ 
A)  Prime 
B)  $(13 k+6 m)^{2}$ 
C)  $(13 k-6 m)^{2}$ 
D)  $(13 k+6 m)(13 k-6 m)$

Question 3

Factor.
-$36 z^{6}+72 z^{4}+32 z^{2}$

Accepted Answer

A)  $\left(12 z^{3}+8\right)\left(3 z^{3}+4\right)$ 
B)  $4\left(3 z^{4}+2\right)\left(3 z^{2}+4\right)$ 
C)  $4 z^{2}\left(3 z^{2}-4\right)\left(3 z^{2}-2\right)$ 
D)  $4 z^{2}\left(3 z^{2}+2\right)\left(3 z^{2}+4\right)$ 
A)  $\left(12 z^{3}+8\right)\left(3 z^{3}+4\right)$ 
B)  $4\left(3 z^{4}+2\right)\left(3 z^{2}+4\right)$ 
C)  $4 z^{2}\left(3 z^{2}-4\right)\left(3 z^{2}-2\right)$ 
D)  $4 z^{2}\left(3 z^{2}+2\right)\left(3 z^{2}+4\right)$

Question 4

Solve using the principle of zero products.
-$b(b+12)=0$

Accepted Answer

A)  $1,-12$ 
B)  $-12,0$ 
C)  $-1,-12$ 
D)  12,0 
A)  $1,-12$ 
B)  $-12,0$ 
C)  $-1,-12$ 
D)  12,0

Question 5

Find the $x$-intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$
-$y=2 x^{2}-7 x-72$

Accepted Answer

A)  $(-8,0),\left(\frac{9}{2}, 0\right)$ 
B)  $(7,0),\left(-\frac{9}{4}, 0\right)$ 
C)  $(80),\left(-\frac{9}{2}, 0\right)$ 
D)  $(-7,0),\left(\frac{9}{4}, 0\right)$ 
A)  $(-8,0),\left(\frac{9}{2}, 0\right)$ 
B)  $(7,0),\left(-\frac{9}{4}, 0\right)$ 
C)  $(80),\left(-\frac{9}{2}, 0\right)$ 
D)  $(-7,0),\left(\frac{9}{4}, 0\right)$

Question 6

Solve the problem.
-The product of two consecutive odd integers is 195 . Find all pairs of integers that satisfy this condition.

Accepted Answer

A)  -15 and $-13,13$ and 15 
B)  -15 and 15 
C)  -15 and $13,-13$ and 15 
D)  -15 and 13 
A)  -15 and $-13,13$ and 15 
B)  -15 and 15 
C)  -15 and $13,-13$ and 15 
D)  -15 and 13

Question 7

Factor completely.
-$4 x^{2}+81$

Accepted Answer

A)  $(2 x+9)(2 x-9)$ 
B)  $(2 x-9)^{2}$ 
C)  $(2 x+9)^{2}$ 
D)  prime 
A)  $(2 x+9)(2 x-9)$ 
B)  $(2 x-9)^{2}$ 
C)  $(2 x+9)^{2}$ 
D)  prime

Question 8

Factor using the ac-method.
-$36-13 x+x^{2}$

Accepted Answer

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

Question 9

Factor.
-$42 m^{9}+60 m^{6}+36 m^{3}$

Accepted Answer

A)  $6 m^{3}\left(7 m^{6}+10 m^{3}+6\right)$ 
B)  No common factor 
C)  $6\left(7 m^{9}+10 m^{6}+6 m^{3}\right)$ 
D)  $m^{3}\left(42 m^{6}+60 m^{3}+36\right)$ 
A)  $6 m^{3}\left(7 m^{6}+10 m^{3}+6\right)$ 
B)  No common factor 
C)  $6\left(7 m^{9}+10 m^{6}+6 m^{3}\right)$ 
D)  $m^{3}\left(42 m^{6}+60 m^{3}+36\right)$

Question 10

Factor.
-$\frac{5}{3} x^{12}-\frac{4}{3} x^{11}+\frac{5}{3} x^{10}+\frac{1}{3} x^{9}$

Accepted Answer

A)  $\frac{5}{3} x^{9}\left(x^{3}-3 x^{2}+4 x+1\right)$ 
B)  $\frac{1}{3} x^{9}\left(5 x^{3}-4 x^{2}+5 x+1\right)$ 
C)  $\frac{1}{2} x^{10}\left(5 x^{3}+4 x^{2}-5 x-1\right)$ 
D)  $\frac{1}{3} x^{10}\left(5 x^{4}-4 x^{3}+5 x^{2}+x\right)$ 
A)  $\frac{5}{3} x^{9}\left(x^{3}-3 x^{2}+4 x+1\right)$ 
B)  $\frac{1}{3} x^{9}\left(5 x^{3}-4 x^{2}+5 x+1\right)$ 
C)  $\frac{1}{2} x^{10}\left(5 x^{3}+4 x^{2}-5 x-1\right)$ 
D)  $\frac{1}{3} x^{10}\left(5 x^{4}-4 x^{3}+5 x^{2}+x\right)$

Question 11

Factor completely.
-$16 x^{2}-16 x+4$

Accepted Answer

A)  $4(2 x+1)(2 x-1)$ 
B)  $4\left(4 x^{2}-4 x+1\right)$ 
C)  $4(2 x-1)^{2}$ 
D)  $(8 x-4)(2 x-1)$ 
A)  $4(2 x+1)(2 x-1)$ 
B)  $4\left(4 x^{2}-4 x+1\right)$ 
C)  $4(2 x-1)^{2}$ 
D)  $(8 x-4)(2 x-1)$

Question 12

Factor completely.
-$4 \mathrm{k}^{2}-121 \mathrm{~m}^{2}$

Accepted Answer

A)  $(4 k+m)(k-121 m)$ 
B)  $(2 \mathrm{k}+11 \mathrm{~m})(2 \mathrm{k}-11 \mathrm{~m})$ 
C)  $(2 k-11 m)^{2}$ 
D)  $(2 \mathrm{k}+11 \mathrm{~m})^{2}$ 
A)  $(4 k+m)(k-121 m)$ 
B)  $(2 \mathrm{k}+11 \mathrm{~m})(2 \mathrm{k}-11 \mathrm{~m})$ 
C)  $(2 k-11 m)^{2}$ 
D)  $(2 \mathrm{k}+11 \mathrm{~m})^{2}$

Question 13

Solve the problem.
-The length of a rectangular frame is $4 \mathrm{~cm}$ more than the width. The area inside the frame is 96 square $\mathrm{cm}$. Find the width of the frame.

Accepted Answer

A)  $9 \mathrm{~cm}$ 
B)  $16 \mathrm{~cm}$ 
C)  $12 \mathrm{~cm}$ 
D)  $8 \mathrm{~cm}$ 
A)  $9 \mathrm{~cm}$ 
B)  $16 \mathrm{~cm}$ 
C)  $12 \mathrm{~cm}$ 
D)  $8 \mathrm{~cm}$

Question 14

Factor using the ac-method.
-$9 x^{4}+12 x^{2}+4$

Accepted Answer

A)  $\left(3 x^{2}+2\right)\left(3 x^{2}+2\right)$ 
B)  $\left(3 x^{2}+1\right)\left(3 x^{2}+4\right)$ 
C)  $\left(9 x^{2}+2\right)\left(x^{2}+2\right)$ 
D)  $\left(3 x^{2}-2\right)\left(3 x^{2}-2\right)$ 
A)  $\left(3 x^{2}+2\right)\left(3 x^{2}+2\right)$ 
B)  $\left(3 x^{2}+1\right)\left(3 x^{2}+4\right)$ 
C)  $\left(9 x^{2}+2\right)\left(x^{2}+2\right)$ 
D)  $\left(3 x^{2}-2\right)\left(3 x^{2}-2\right)$

Question 15

Factor completely.
-$25 x^{2}-70 x+49 y^{2}$

Accepted Answer

A)  $(5 x-y)^{2}$ 
B)  $(7 x+5 y)^{2}$ 
C)  Prime 
D)  $(7 x-5 y)^{2}$ 
A)  $(5 x-y)^{2}$ 
B)  $(7 x+5 y)^{2}$ 
C)  Prime 
D)  $(7 x-5 y)^{2}$

Question 16

Solve using the principle of zero products.
-$(4 y+9)(8 y+17)=0$

Accepted Answer

A)  5,9 
B)  $-\frac{9}{4},-\frac{17}{8}$ 
C)  $\frac{9}{4}, \frac{17}{8}$ 
D)  $-\frac{4}{5},-\frac{8}{17}$ 
A)  5,9 
B)  $-\frac{9}{4},-\frac{17}{8}$ 
C)  $\frac{9}{4}, \frac{17}{8}$ 
D)  $-\frac{4}{5},-\frac{8}{17}$

Question 17

Find the $x$-intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$
-$y=x^{2}-5 x-50$

Accepted Answer

A)  $(-5,0)(10,0)$ 
B)  $(15,0)$ 
C)  $(5,0),(-10,0)$ 
D)  $(5,0),(1,0)$ 
A)  $(-5,0)(10,0)$ 
B)  $(15,0)$ 
C)  $(5,0),(-10,0)$ 
D)  $(5,0),(1,0)$

Question 18

Solve the problem.
-If an object is thrown upward with an initial velocity of $64 \mathrm{ft} / \mathrm{sec}$, its height after $\mathrm{t} \mathrm{sec}$ is given by $h=64 t-16 t^{2}$. Find the number of seconds before the object hits the ground.

Accepted Answer

A)  $32 \mathrm{sec}$ 
B)  $2 \mathrm{sec}$ 
C)  $4 \mathrm{sec}$ 
D)  $48 \mathrm{sec}$ 
A)  $32 \mathrm{sec}$ 
B)  $2 \mathrm{sec}$ 
C)  $4 \mathrm{sec}$ 
D)  $48 \mathrm{sec}$

Question 19

Factor completely.
-$x^{4}-81$

Accepted Answer

A)  $\left(x^{2}-9\right)(x+3)(x-3)$ 
B)  Prime 
C)  $(x+3)^{2}(x-3)^{2}$ 
D)  $\left(x^{2}+9\right)(x+3)(x-3)$ 
A)  $\left(x^{2}-9\right)(x+3)(x-3)$ 
B)  Prime 
C)  $(x+3)^{2}(x-3)^{2}$ 
D)  $\left(x^{2}+9\right)(x+3)(x-3)$

Question 20

Factor completely.
-$20 x^{2}+31 x+12$

Accepted Answer

A)  $(20 x+3)(x+4)$ 
B)  $(4 x-3)(5 x-4)$ 
C)  $(4 x+3)(5 x+4)$ 
D)  $(20 x+1)(x+12)$ 
A)  $(20 x+3)(x+4)$ 
B)  $(4 x-3)(5 x-4)$ 
C)  $(4 x+3)(5 x+4)$ 
D)  $(20 x+1)(x+12)$

Solve by factoring and using the principle of zero products. - $25 y^{2}+35 y+12=0$

Factor completely. - $169 \mathrm{k}^{2}-36 \mathrm{~m}^{2}$

Factor. - $36 z^{6}+72 z^{4}+32 z^{2}$

Solve using the principle of zero products. - $b(b+12)=0$

Find the $x$ -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$ - $y=2 x^{2}-7 x-72$ $Find the x -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) y=x^{2}-x-72 - y=2 x^{2}-7 x-72$

Solve the problem. -The product of two consecutive odd integers is 195 . Find all pairs of integers that satisfy this condition.

Factor completely. - $4 x^{2}+81$

Factor using the ac-method. - $36-13 x+x^{2}$

Factor. - $42 m^{9}+60 m^{6}+36 m^{3}$

Factor. - $\frac{5}{3} x^{12}-\frac{4}{3} x^{11}+\frac{5}{3} x^{10}+\frac{1}{3} x^{9}$

Factor completely. - $16 x^{2}-16 x+4$

Factor completely. - $4 \mathrm{k}^{2}-121 \mathrm{~m}^{2}$

Solve the problem. -The length of a rectangular frame is $4 \mathrm{~cm}$ more than the width. The area inside the frame is 96 square $\mathrm{cm}$ . Find the width of the frame.

Factor using the ac-method. - $9 x^{4}+12 x^{2}+4$

Factor completely. - $25 x^{2}-70 x+49 y^{2}$

Solve using the principle of zero products. - $(4 y+9)(8 y+17)=0$

Find the $x$ -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) $y=x^{2}-x-72$ - $y=x^{2}-5 x-50$ $Find the x -intercepts of the graph of the equation. (The grids are intentionally not included.) 179) y=x^{2}-x-72 - y=x^{2}-5 x-50$

Solve the problem. -If an object is thrown upward with an initial velocity of $64 \mathrm{ft} / \mathrm{sec}$ , its height after $\mathrm{t} \mathrm{sec}$ is given by $h=64 t-16 t^{2}$ . Find the number of seconds before the object hits the ground.

Factor completely. - $x^{4}-81$

Factor completely. - $20 x^{2}+31 x+12$

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Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

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Polynomials: Operations

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Exam 11: Polynomials: Factoring

Solve by factoring and using the principle of zero products. - 25y2+35y+12=025 y^{2}+35 y+12=025y2+35y+12=0

Factor completely. - 169k2−36 m2169 \mathrm{k}^{2}-36 \mathrm{~m}^{2}169k2−36 m2

Factor. - 36z6+72z4+32z236 z^{6}+72 z^{4}+32 z^{2}36z6+72z4+32z2

Solve using the principle of zero products. - b(b+12)=0b(b+12)=0b(b+12)=0

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=2x2−7x−72y=2 x^{2}-7 x-72y=2x2−7x−72