Question 1

Factor.
-$7+6 x-x^{2}$

Accepted Answer

A)  $(-x-1)(x-7)$ 
B)  $(-x-7)(x-1)$ 
C)  $(x-1)(x-7)$ 
D)  $(x+1)(x-7)$ 
A)  $(-x-1)(x-7)$ 
B)  $(-x-7)(x-1)$ 
C)  $(x-1)(x-7)$ 
D)  $(x+1)(x-7)$

Question 2

Factor.
-$8 z^{2}-6 z-9$

Accepted Answer

A)  $(4 z+3)(2 z-3)$ 
B)  $(4 z-3)(2 z+3)$ 
C)  Prime 
D)  $(8 z+3)(z-3)$ 
A)  $(4 z+3)(2 z-3)$ 
B)  $(4 z-3)(2 z+3)$ 
C)  Prime 
D)  $(8 z+3)(z-3)$

Question 3

Determine whether the following is a difference of squares.
-$144-y^{2}$

Accepted Answer

A) True 
 B)False

Question 4

Factor.
-$60 z^{8}+93 z^{5}+36 z^{2}$

Accepted Answer

A)  $3\left(4 z^{6}+3\right)\left(5 z^{2}+4\right)$ 
B)  $3 z^{2}\left(5 z^{3}-4\right)\left(4 z^{3}-3\right)$ 
C)  $\left(4 z^{4}+4\right)\left(5 z^{4}+4\right)$ 
D)  $3 z^{2}\left(4 z^{3}+3\right)\left(5 z^{3}+4\right)$ 
A)  $3\left(4 z^{6}+3\right)\left(5 z^{2}+4\right)$ 
B)  $3 z^{2}\left(5 z^{3}-4\right)\left(4 z^{3}-3\right)$ 
C)  $\left(4 z^{4}+4\right)\left(5 z^{4}+4\right)$ 
D)  $3 z^{2}\left(4 z^{3}+3\right)\left(5 z^{3}+4\right)$

Question 5

Factor using the ac-method.
-$60 x^{2}+35 x y+5 y^{2}$

Accepted Answer

A)  $5(3 x+y)(4 x+y)$ 
B)  $(15 x+5 y)(4 x+y)$ 
C)  $5(3 x-y)(4 x-y)$ 
D)  prime 
A)  $5(3 x+y)(4 x+y)$ 
B)  $(15 x+5 y)(4 x+y)$ 
C)  $5(3 x-y)(4 x-y)$ 
D)  prime

Question 6

Factor.
-$12 y^{2}+25 y+12$

Accepted Answer

A)  $(4 y-3)(3 y-4)$ 
B)  Prime 
C)  $(12 y+3)(y+4)$ 
D)  $(4 y+3)(3 y+4)$ 
A)  $(4 y-3)(3 y-4)$ 
B)  Prime 
C)  $(12 y+3)(y+4)$ 
D)  $(4 y+3)(3 y+4)$

Question 7

Determine whether the following is a trinomial square.
-$x^{2}-25 x+625$

Accepted Answer

A) True 
 B)False

Question 8

Solve.
-Use the following graph to solve $-x^{2}-3 x+10=0$.
 
$y=-x^{2}-3 x+10$

Accepted Answer

A)  10 
B)  $-2,5$ 
C)  $2,-5$ 
D)  -10 
A)  10 
B)  $-2,5$ 
C)  $2,-5$ 
D)  -10

Question 9

Factor completely.
-$36 a^{3} b^{3}+45 a^{2} b^{2}-81 a b$

Accepted Answer

A)  $a b(9 a b+9)(4 a b-9)$ 
B)  $\left(9 a^{2} b^{2}-9\right)(4 a b+9)$ 
C)  $(9 a b+9)\left(4 a^{2} b^{2}-9\right)$ 
D)  $a b(9 a b-9)(4 a b+9)$ 
A)  $a b(9 a b+9)(4 a b-9)$ 
B)  $\left(9 a^{2} b^{2}-9\right)(4 a b+9)$ 
C)  $(9 a b+9)\left(4 a^{2} b^{2}-9\right)$ 
D)  $a b(9 a b-9)(4 a b+9)$

Question 10

Solve using the principle of zero products.
-$x\left(3 x-\frac{1}{8}\right)\left(x+\frac{1}{3}\right)=0$

Accepted Answer

A)  $0,-\frac{1}{24}, \frac{1}{3}$ 
B)  $0, \frac{1}{24}, \frac{1}{3}$ 
C)  $0, \frac{1}{24},-\frac{1}{3}$ 
D)  $0,-\frac{1}{24},-\frac{1}{3}$ 
A)  $0,-\frac{1}{24}, \frac{1}{3}$ 
B)  $0, \frac{1}{24}, \frac{1}{3}$ 
C)  $0, \frac{1}{24},-\frac{1}{3}$ 
D)  $0,-\frac{1}{24},-\frac{1}{3}$

Question 11

Solve using the principle of zero products.
-$\left(x+\frac{1}{4}\right)\left(x-\frac{2}{5}\right)=0$

Accepted Answer

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

Question 12

Factor completely.
-$x^{2}-12 x+36$

Accepted Answer

A)  Prime 
B)  $(x+6)(x-6)$ 
C)  $(x+6)^{2}$ 
D)  $(x-6)^{2}$ 
A)  Prime 
B)  $(x+6)(x-6)$ 
C)  $(x+6)^{2}$ 
D)  $(x-6)^{2}$

Question 13

Factor.
-$18 x^{2}-63 x-36$

Accepted Answer

A)  $(2 x-1)(9 x+36)$ 
B)  $9(2 x-1)(x+4)$ 
C)  $9(2 x+1)(x-4)$ 
D)  $(18 x-9)(x+4)$ 
A)  $(2 x-1)(9 x+36)$ 
B)  $9(2 x-1)(x+4)$ 
C)  $9(2 x+1)(x-4)$ 
D)  $(18 x-9)(x+4)$

Question 14

Factor completely.
-$50 x^{2}-98 y^{2}$

Accepted Answer

A)  $(5 x-7 y)(10 x+14 y)$ 
B)  $(10 x-14 y)(5 x+7 y)$ 
C)  $2(5 x-7 y)(5 x+7 y)$ 
D)  $2(5 x+7 y)^{2}$ 
A)  $(5 x-7 y)(10 x+14 y)$ 
B)  $(10 x-14 y)(5 x+7 y)$ 
C)  $2(5 x-7 y)(5 x+7 y)$ 
D)  $2(5 x+7 y)^{2}$

Question 15

Factor.
-$x^{2}-4 x-45$

Accepted Answer

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

Question 16

Factor.
-$x^{3}+8 x^{2}-33 x$

Accepted Answer

A)  $\left(x^{2}+11\right)(x-3)$ 
B)  $\left(x^{2}+3\right)(x-11)$ 
C)  $x(x+11)(x-3)$ 
D)  $x(x-11)(x+3)$ 
A)  $\left(x^{2}+11\right)(x-3)$ 
B)  $\left(x^{2}+3\right)(x-11)$ 
C)  $x(x+11)(x-3)$ 
D)  $x(x-11)(x+3)$

Question 17

Factor by grouping.
-$x^{3}+7 x^{2}-3 x-21$

Accepted Answer

A)  $(x+7)\left(x^{3}-3 x\right)$ 
B)  $\left(x^{2}+7\right)(x-3)$ 
C)  $(x+7)\left(x^{2}-3\right)$ 
D)  $(x-7)\left(x^{2}-3\right)$ 
A)  $(x+7)\left(x^{3}-3 x\right)$ 
B)  $\left(x^{2}+7\right)(x-3)$ 
C)  $(x+7)\left(x^{2}-3\right)$ 
D)  $(x-7)\left(x^{2}-3\right)$

Question 18

Determine whether the following is a trinomial square.
-$x^{2}+16 x+64$

Accepted Answer

A) True 
 B)False

Question 19

Factor.
-$22 m^{2}-15 r^{3}$

Accepted Answer

A)  $3\left(7 m^{2}-5 r^{3}\right)$ 
B)  $m^{2}(22-15 m)$ 
C)  $2\left(11 \mathrm{~m}^{2}+7 \mathrm{r}^{3}\right)$ 
D)  No common factor 
A)  $3\left(7 m^{2}-5 r^{3}\right)$ 
B)  $m^{2}(22-15 m)$ 
C)  $2\left(11 \mathrm{~m}^{2}+7 \mathrm{r}^{3}\right)$ 
D)  No common factor

Question 20

Solve by factoring and using the principle of zero products.
-$25 \mathrm{k}^{2}=64$

Accepted Answer

A)  $\frac{5}{8},-\frac{5}{8}$ 
B)  $\frac{8}{5},-\frac{8}{5}$ 
C)  $\frac{5}{8}, 0$ 
D)  8,0 
A)  $\frac{5}{8},-\frac{5}{8}$ 
B)  $\frac{8}{5},-\frac{8}{5}$ 
C)  $\frac{5}{8}, 0$ 
D)  8,0

Factor. - $7+6 x-x^{2}$

Factor. - $8 z^{2}-6 z-9$

Determine whether the following is a difference of squares. - $144-y^{2}$

Factor. - $60 z^{8}+93 z^{5}+36 z^{2}$

Factor using the ac-method. - $60 x^{2}+35 x y+5 y^{2}$

Factor. - $12 y^{2}+25 y+12$

Determine whether the following is a trinomial square. - $x^{2}-25 x+625$

Solve. -Use the following graph to solve $-x^{2}-3 x+10=0$ . $Solve. -Use the following graph to solve -x^{2}-3 x+10=0 . y=-x^{2}-3 x+10$ $y=-x^{2}-3 x+10$

Factor completely. - $36 a^{3} b^{3}+45 a^{2} b^{2}-81 a b$

Solve using the principle of zero products. - $x\left(3 x-\frac{1}{8}\right)\left(x+\frac{1}{3}\right)=0$

Solve using the principle of zero products. - $\left(x+\frac{1}{4}\right)\left(x-\frac{2}{5}\right)=0$

Factor completely. - $x^{2}-12 x+36$

Factor. - $18 x^{2}-63 x-36$

Factor completely. - $50 x^{2}-98 y^{2}$

Factor. - $x^{2}-4 x-45$

Factor. - $x^{3}+8 x^{2}-33 x$

Factor by grouping. - $x^{3}+7 x^{2}-3 x-21$

Determine whether the following is a trinomial square. - $x^{2}+16 x+64$

Factor. - $22 m^{2}-15 r^{3}$

Solve by factoring and using the principle of zero products. - $25 \mathrm{k}^{2}=64$

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. - 7+6x−x27+6 x-x^{2}7+6x−x2

Factor. - 8z2−6z−98 z^{2}-6 z-98z2−6z−9

Determine whether the following is a difference of squares. - 144−y2144-y^{2}144−y2

Factor. - 60z8+93z5+36z260 z^{8}+93 z^{5}+36 z^{2}60z8+93z5+36z2

Factor using the ac-method. - 60x2+35xy+5y260 x^{2}+35 x y+5 y^{2}60x2+35xy+5y2

Factor. - 12y2+25y+1212 y^{2}+25 y+1212y2+25y+12

Determine whether the following is a trinomial square. - x2−25x+625x^{2}-25 x+625x2−25x+625

Solve. -Use the following graph to solve −x2−3x+10=0-x^{2}-3 x+10=0−x2−3x+10=0 . y=−x2−3x+10y=-x^{2}-3 x+10y=−x2−3x+10

Factor completely. - 36a3b3+45a2b2−81ab36 a^{3} b^{3}+45 a^{2} b^{2}-81 a b36a3b3+45a2b2−81ab

Solve using the principle of zero products. - x(3x−18)(x+13)=0x\left(3 x-\frac{1}{8}\right)\left(x+\frac{1}{3}\right)=0x(3x−81​)(x+31​)=0

Solve using the principle of zero products. - (x+14)(x−25)=0\left(x+\frac{1}{4}\right)\left(x-\frac{2}{5}\right)=0(x+41​)(x−52​)=0

Factor completely. - x2−12x+36x^{2}-12 x+36x2−12x+36

Factor. - 18x2−63x−3618 x^{2}-63 x-3618x2−63x−36

Factor completely. - 50x2−98y250 x^{2}-98 y^{2}50x2−98y2

Factor. - x2−4x−45x^{2}-4 x-45x2−4x−45

Factor. - x3+8x2−33xx^{3}+8 x^{2}-33 xx3+8x2−33x

Factor by grouping. - x3+7x2−3x−21x^{3}+7 x^{2}-3 x-21x3+7x2−3x−21

Determine whether the following is a trinomial square. - x2+16x+64x^{2}+16 x+64x2+16x+64

Factor. - 22m2−15r322 m^{2}-15 r^{3}22m2−15r3

Solve by factoring and using the principle of zero products. - 25k2=6425 \mathrm{k}^{2}=6425k2=64

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

Factor. - $7+6 x-x^{2}$

Factor. - $8 z^{2}-6 z-9$

Determine whether the following is a difference of squares. - $144-y^{2}$

Factor. - $60 z^{8}+93 z^{5}+36 z^{2}$

Factor using the ac-method. - $60 x^{2}+35 x y+5 y^{2}$

Factor. - $12 y^{2}+25 y+12$

Determine whether the following is a trinomial square. - $x^{2}-25 x+625$

Solve. -Use the following graph to solve $-x^{2}-3 x+10=0$ . $Solve. -Use the following graph to solve -x^{2}-3 x+10=0 . y=-x^{2}-3 x+10$ $y=-x^{2}-3 x+10$

Factor completely. - $36 a^{3} b^{3}+45 a^{2} b^{2}-81 a b$

Solve using the principle of zero products. - $x\left(3 x-\frac{1}{8}\right)\left(x+\frac{1}{3}\right)=0$

Solve using the principle of zero products. - $\left(x+\frac{1}{4}\right)\left(x-\frac{2}{5}\right)=0$

Factor completely. - $x^{2}-12 x+36$

Factor. - $18 x^{2}-63 x-36$

Factor completely. - $50 x^{2}-98 y^{2}$

Factor. - $x^{2}-4 x-45$

Factor. - $x^{3}+8 x^{2}-33 x$

Factor by grouping. - $x^{3}+7 x^{2}-3 x-21$

Determine whether the following is a trinomial square. - $x^{2}+16 x+64$

Factor. - $22 m^{2}-15 r^{3}$

Solve by factoring and using the principle of zero products. - $25 \mathrm{k}^{2}=64$