Polynomial Operations and Simplifying Radicals

Find the difference:

 $\left(2x^3+11x+2\right)-\left(x^3-2x+7\right)$  

•  $x^3+9x-5$  

•  $x^3+9x+9$  

•  $3x^3+9x+9$  

•  $x^3+13x-5$  

Find the sum:
 $\left(12x^3-5x^2-70x+1\right)+\left(-17x^3+56x\right)$ 

•  $29x^3-5x^2+126x+1$  

•  $-5x^3-5x^2-14x+1$  

•  $29x^3+61x^2-70x+1$  

•  $12x^3-22x^2-120x+1$  

Which expressions are equivalent to the following polynomial?

 $4x^2-13x-4$  

•  $\left(4x^2-15x+16\right)+\left(2x-20\right)$  

•  $\left(x^2-6x-10\right)+\left(3x^2-7x+6\right)$  

•  $\left(2x^2+10x-11\right)+\left(2x^2-3x+15\right)$  

•  $\left(5x^2-20x+8\right)-\left(x^2-7x+12\right)$  

Find the product:
 $\left(6x+2\right)\left(2x^2+x+1\right)$  

•  $12x^3+10x^2+8x+2$  

•  $12x^3+2x^2+1$  

•  $12x^3+6x^2+6x$  

•  $2x^2+7x+3$  

Multiply:

 $\left(2x-1\right)\left(3x^3-x+3\right)$  

•  $3x^3+x+2$  

•  $6x^4-3x^3-2x^2+7x-3$  

•  $6x^4-2x^2+6x$  

•  $6x^4-5x^2+7x-3$  

Write in simplest radical form:

 $\sqrt{288}$  

•  $2\sqrt{72}$  

•  $2\sqrt{12}$  

•  $24$  

•  $12\sqrt{2}$  

Simplify the radical

 $-3\sqrt{360}$  

•  $-18\sqrt{10}$  

•  $18i\sqrt{10}$  

•  $6\sqrt{10}$  

•  $18$  

Which expressions are equivalent to the following number?

 $14\sqrt{3}$  

•  $\sqrt{588}$  

•  $7\sqrt{12}$  

•  $2\sqrt{147}$  

•  $\sqrt{42}$