1 pt
DOK: 2

1.

Factor: ${x}^{3}+18{x}^{2}+108x+216$

A

${(x+6)}^{3}$

B

${(x+4)}^{3}$

C

${(x+8)}^{3}$

D

${(x-6)}^{3}$

1 pt
DOK: 1

2.

Factor: ${x}^{3}-27{x}^{2}+243x-729$

A

${(x-11)}^{3}$

B

${(x-9)}^{3}$

C

${(x-7)}^{3}$

D

${(x-8)}^{3}$

1 pt
DOK: 2

4.

What is the solution to the equation ${x}^{3}+12{x}^{2}-2x-24=0$?

A

*x*=-12. -2*i*, and 2*i*

B

*x*=-12, $-\sqrt{2}$, and $\sqrt{2}$

C

*x*=12. -2*i*, and 2*i*

D

*x*=12, $-\sqrt{2}$, and $\sqrt{2}$

1 pt
DOK: 2

6.

Multiply the following binomial and simplify. ${(x-2)}^{2}$

A

${x}^{2}-4x-4$

B

${x}^{2}-2x-4$

C

${x}^{2}-2x+4$

D

${x}^{2}-4x+4$

1 pt
DOK: 1

7.

How many terms are in the expansion of ${(x+4)}^{4}$?

A

4

B

5

C

6

D

3