Question 1

Factor.
-$u^{2}-5 u v-24 v^{2}$

Accepted Answer

A)  $(u-v)(u+8 v)$ 
B)  $(u-3 v)(u+v)$ 
C)  $(u+3 v)(u-8 v)$ 
D)  $(u-3 v)(u+8 v)$ 
A)  $(u-v)(u+8 v)$ 
B)  $(u-3 v)(u+v)$ 
C)  $(u+3 v)(u-8 v)$ 
D)  $(u-3 v)(u+8 v)$ C

Question 2

Factor completely.
-$8 a^{4}-98 b^{2}$

Accepted Answer

A)  $\left(4 a^{2}+14 b\right)\left(2 a^{2}-7 b\right)$ 
B)  $2\left(2 a^{2}+7 b\right)^{2}$ 
C)  $2\left(2 a^{2}+7 b\right)\left(2 a^{2}-7 b\right)$ 
D)  $2\left(2 a^{2}-7 b\right)^{2}$ 
A)  $\left(4 a^{2}+14 b\right)\left(2 a^{2}-7 b\right)$ 
B)  $2\left(2 a^{2}+7 b\right)^{2}$ 
C)  $2\left(2 a^{2}+7 b\right)\left(2 a^{2}-7 b\right)$ 
D)  $2\left(2 a^{2}-7 b\right)^{2}$ C

Question 3

Factor.
-$\mathrm{t}(3-\mathrm{m})+\mathrm{s}(3-\mathrm{m})$

Accepted Answer

A)  No common factor 
B)  $\mathrm{t}(3-\mathrm{m})+\mathrm{s}$ 
C)  $(\mathrm{t}+\mathrm{s})(3-\mathrm{m})$ 
D)  $(\mathrm{t}-\mathrm{s})(3-\mathrm{m})$ 
A)  No common factor 
B)  $\mathrm{t}(3-\mathrm{m})+\mathrm{s}$ 
C)  $(\mathrm{t}+\mathrm{s})(3-\mathrm{m})$ 
D)  $(\mathrm{t}-\mathrm{s})(3-\mathrm{m})$ C

Question 4

Factor.
-$12 x^{2}+17 x y+6 y^{2}$

Accepted Answer

A)  $(3 x-2 y)(4 x-3 y)$ 
B)  $(12 x+2 y)(x+3 y)$ 
C)  $(3 \mathrm{x}+2 \mathrm{y})(4 \mathrm{x}+3 \mathrm{y})$ 
D)  $(12 x+y)(x+6 y)$ 
A)  $(3 x-2 y)(4 x-3 y)$ 
B)  $(12 x+2 y)(x+3 y)$ 
C)  $(3 \mathrm{x}+2 \mathrm{y})(4 \mathrm{x}+3 \mathrm{y})$ 
D)  $(12 x+y)(x+6 y)$

Question 5

Factor.
-$u^{2}-3 u v-54 v^{2}$

Accepted Answer

A)  $(u+6 v)(u-9 v)$ 
B)  $(u-v)(u+9 v)$ 
C)  $(u-6 v)(u+9 v)$ 
D)  $(u-6 v)(u+v)$ 
A)  $(u+6 v)(u-9 v)$ 
B)  $(u-v)(u+9 v)$ 
C)  $(u-6 v)(u+9 v)$ 
D)  $(u-6 v)(u+v)$

Question 6

Determine whether the following is a trinomial square.
-$x^{2}+40 x+400$

Accepted Answer

A) True 
 B)False

Question 7

Factor completely.
-$64 x^{2} y^{2}-80 x y+25$

Accepted Answer

A)  $(8 x y+5)^{2}$ 
B)  Prime 
C)  $(8 x y-5)(8 x y+5)$ 
D)  $(8 x y-5)^{2}$ 
A)  $(8 x y+5)^{2}$ 
B)  Prime 
C)  $(8 x y-5)(8 x y+5)$ 
D)  $(8 x y-5)^{2}$

Question 8

Factor completely.
-$98 \mathrm{a}^{4} \mathrm{~b}-72 \mathrm{~b}^{3}$

Accepted Answer

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

Question 9

Factor completely.
-$6 x^{3}+8 x^{2}-15 x-20$

Accepted Answer

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

Question 10

Factor using the ac-method.
-$8 z^{2}+6 z-9$

Accepted Answer

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

Question 11

Determine whether the following is a trinomial square.
-$x^{2}-16 x+256$

Accepted Answer

A) True 
 B)False

Question 12

Find the GCF.
-$-x^{2},-2 x,-16 x^{4}$

Accepted Answer

A)  $-2 \mathrm{x}$ 
B)  $-\mathrm{x}$ 
C)  $-x^{2}$ 
D)  $-2 x^{2}$ 
A)  $-2 \mathrm{x}$ 
B)  $-\mathrm{x}$ 
C)  $-x^{2}$ 
D)  $-2 x^{2}$

Question 13

Factor completely.
-$72 \mathrm{x}^{2}-32$

Accepted Answer

A)  $8(3 x+2)^{2}$ 
B)  $(3 \mathrm{x}-2)(24 \mathrm{x}+16)$ 
C)  $(24 x-16)(3 x+2)$ 
D)  $8(3 x-2)(3 x+2)$ 
A)  $8(3 x+2)^{2}$ 
B)  $(3 \mathrm{x}-2)(24 \mathrm{x}+16)$ 
C)  $(24 x-16)(3 x+2)$ 
D)  $8(3 x-2)(3 x+2)$

Question 14

Factor by grouping.
-$20 x^{2}-25 x-12 x+15$

Accepted Answer

A)  $(5 x-3)(4 x-5)$ 
B)  $(20 x-3)(x-5)$ 
C)  $(20 \mathrm{x}+3)(\mathrm{x}+5)$ 
D)  $(5 x+3)(4 x+5)$ 
A)  $(5 x-3)(4 x-5)$ 
B)  $(20 x-3)(x-5)$ 
C)  $(20 \mathrm{x}+3)(\mathrm{x}+5)$ 
D)  $(5 x+3)(4 x+5)$

Question 15

Factor.
-$t^{2}+1.4 t+0.49$

Accepted Answer

A)  $\left(t^{2}+0.7\right)^{2}$ 
B)  $(t+0.7)^{2}$ 
C)  $(t+1.4)^{2}$ 
D)  $t(t+1.4)$ 
A)  $\left(t^{2}+0.7\right)^{2}$ 
B)  $(t+0.7)^{2}$ 
C)  $(t+1.4)^{2}$ 
D)  $t(t+1.4)$

Question 16

Factor.
-$5 x^{2}+25 x$

Accepted Answer

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

Question 17

Find the GCF.
-$7 x^{4},-14 x^{3}$

Accepted Answer

A)  $7 \mathrm{x}^{3}$ 
B)  $7 \mathrm{x}^{4}$ 
C)  $5 x^{3}$ 
D)  $-14 x^{4}$ 
A)  $7 \mathrm{x}^{3}$ 
B)  $7 \mathrm{x}^{4}$ 
C)  $5 x^{3}$ 
D)  $-14 x^{4}$

Question 18

Solve.
-Use the following graph to solve $x^{2}+4 x-5=0$.
$$y=x^{2}+4 x-5$$

Accepted Answer

A)  $-1,5$ 
B)  1,5 
C)  $-5,1$ 
D)  $-5,-1$ 
A)  $-1,5$ 
B)  1,5 
C)  $-5,1$ 
D)  $-5,-1$

Question 19

Factor completely.
-$15 a^{3}-18 a^{2} b+20 a b^{2}-24 b^{3}$

Accepted Answer

A)  $\left(3 a^{2}+4 b\right)(5 a-6 b)$ 
B)  $\left(3 a^{2}+4 b^{2}\right)(5 a-6 b)$ 
C)  $\left(3 a^{2}-4 b^{2}\right)(5 a+6 b)$ 
D)  $\left(15 \mathrm{a}^{2}+4 \mathrm{~b}^{2}\right)(\mathrm{a}-6 \mathrm{~b})$ 
A)  $\left(3 a^{2}+4 b\right)(5 a-6 b)$ 
B)  $\left(3 a^{2}+4 b^{2}\right)(5 a-6 b)$ 
C)  $\left(3 a^{2}-4 b^{2}\right)(5 a+6 b)$ 
D)  $\left(15 \mathrm{a}^{2}+4 \mathrm{~b}^{2}\right)(\mathrm{a}-6 \mathrm{~b})$

Question 20

Factor using the ac-method.
-$8 x^{2}+14 x t+3 t^{2}$

Accepted Answer

A)  $(8 \mathrm{x}+\mathrm{t})(\mathrm{x}+3 \mathrm{t})$ 
B)  $(4 \mathrm{x}+\mathrm{t})(2 \mathrm{x}+3 \mathrm{t})$ 
C)  $(4 x-t)(2 x-3 t)$ 
D)  prime 
A)  $(8 \mathrm{x}+\mathrm{t})(\mathrm{x}+3 \mathrm{t})$ 
B)  $(4 \mathrm{x}+\mathrm{t})(2 \mathrm{x}+3 \mathrm{t})$ 
C)  $(4 x-t)(2 x-3 t)$ 
D)  prime

Factor. - $u^{2}-5 u v-24 v^{2}$

Factor completely. - $8 a^{4}-98 b^{2}$

Factor. - $\mathrm{t}(3-\mathrm{m})+\mathrm{s}(3-\mathrm{m})$

Factor. - $12 x^{2}+17 x y+6 y^{2}$

Factor. - $u^{2}-3 u v-54 v^{2}$

Determine whether the following is a trinomial square. - $x^{2}+40 x+400$

Factor completely. - $64 x^{2} y^{2}-80 x y+25$

Factor completely. - $98 \mathrm{a}^{4} \mathrm{~b}-72 \mathrm{~b}^{3}$

Factor completely. - $6 x^{3}+8 x^{2}-15 x-20$

Factor using the ac-method. - $8 z^{2}+6 z-9$

Determine whether the following is a trinomial square. - $x^{2}-16 x+256$

Find the GCF. - $-x^{2},-2 x,-16 x^{4}$

Factor completely. - $72 \mathrm{x}^{2}-32$

Factor by grouping. - $20 x^{2}-25 x-12 x+15$

Factor. - $t^{2}+1.4 t+0.49$

Factor. - $5 x^{2}+25 x$

Find the GCF. - $7 x^{4},-14 x^{3}$

Solve. -Use the following graph to solve $x^{2}+4 x-5=0$ . $y=x^{2}+4 x-5$ $Solve. -Use the following graph to solve x^{2}+4 x-5=0 . y=x^{2}+4 x-5$

Factor completely. - $15 a^{3}-18 a^{2} b+20 a b^{2}-24 b^{3}$

Factor using the ac-method. - $8 x^{2}+14 x t+3 t^{2}$

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

Equations of Lines and Simplifying Radical Expressions

Filters

Exam 5: Polynomials: Factoring

Factor. - u2−5uv−24v2u^{2}-5 u v-24 v^{2}u2−5uv−24v2

Factor completely. - 8a4−98b28 a^{4}-98 b^{2}8a4−98b2

Factor. - t(3−m)+s(3−m)\mathrm{t}(3-\mathrm{m})+\mathrm{s}(3-\mathrm{m})t(3−m)+s(3−m)

Factor. - 12x2+17xy+6y212 x^{2}+17 x y+6 y^{2}12x2+17xy+6y2

Factor. - u2−3uv−54v2u^{2}-3 u v-54 v^{2}u2−3uv−54v2

Determine whether the following is a trinomial square. - x2+40x+400x^{2}+40 x+400x2+40x+400

Factor completely. - 64x2y2−80xy+2564 x^{2} y^{2}-80 x y+2564x2y2−80xy+25

Factor completely. - 98a4 b−72 b398 \mathrm{a}^{4} \mathrm{~b}-72 \mathrm{~b}^{3}98a4 b−72 b3

Factor completely. - 6x3+8x2−15x−206 x^{3}+8 x^{2}-15 x-206x3+8x2−15x−20

Factor using the ac-method. - 8z2+6z−98 z^{2}+6 z-98z2+6z−9

Determine whether the following is a trinomial square. - x2−16x+256x^{2}-16 x+256x2−16x+256

Find the GCF. - −x2,−2x,−16x4-x^{2},-2 x,-16 x^{4}−x2,−2x,−16x4

Factor completely. - 72x2−3272 \mathrm{x}^{2}-3272x2−32

Factor by grouping. - 20x2−25x−12x+1520 x^{2}-25 x-12 x+1520x2−25x−12x+15

Factor. - t2+1.4t+0.49t^{2}+1.4 t+0.49t2+1.4t+0.49

Factor. - 5x2+25x5 x^{2}+25 x5x2+25x

Find the GCF. - 7x4,−14x37 x^{4},-14 x^{3}7x4,−14x3

Solve. -Use the following graph to solve x2+4x−5=0x^{2}+4 x-5=0x2+4x−5=0 . y=x2+4x−5y=x^{2}+4 x-5y=x2+4x−5

Factor completely. - 15a3−18a2b+20ab2−24b315 a^{3}-18 a^{2} b+20 a b^{2}-24 b^{3}15a3−18a2b+20ab2−24b3

Factor using the ac-method. - 8x2+14xt+3t28 x^{2}+14 x t+3 t^{2}8x2+14xt+3t2