Algebra 2 IA5 Review

Simplify:  $\sqrt{-7}$  

•  $i\sqrt{7}$  

•  $-\sqrt{7}$  

•  $7i$  

•  $-7$  

Rationalize the denominator:  $\frac{8+3i}{5-2i}$  

•  $\frac{34}{29}+31i$  

•  $\frac{34+31i}{25}$  

•  $\frac{34}{29}+\frac{31i}{29}$  

•  $\frac{40}{29}+31i$  

Factor

 $9x^2+16$  

•  $\left(3x-4\right)\left(3x+4\right)$  

•  $\left(3x+4i\right)\left(3x+4i\right)$  

•  $\left(3x-4i\right)\left(3x-4i\right)$  

•  $\left(3x-4i\right)\left(3x+4i\right)$  

Which expression is equivalent to

 $28x^3-42x^2+16x-24$  ?

•  $\left(7x^2+4\right)\left(2x-3\right)$  

•  $2\left(7x^2-4\right)\left(2x-3\right)$  

•  $2\left(7x^2+4\right)\left(2x-3\right)$  

•  $2\left(7x+4\right)\left(2x-3\right)$  

What are the zeros of the function?  $f\left(x\right)=4x^2+12x-40$  

• -5 and 2

• 7 and -4

• -5 and -2

• 5 and -2

Which values of x satisfy the equation?

 $2x^2-5x+5=0$  

•  $\left\{-\frac{5}{4}+\frac{\sqrt{15}}{4}i,\ \ \ \ -\frac{5}{4}-\frac{\sqrt{15}}{4}i\right\}$  

•  $\left\{\frac{5}{4}+\frac{\sqrt{15}}{4}i,\ \ \ \frac{5}{4}-\frac{\sqrt{15}}{4}i\right\}$  

•  $\left\{-\frac{5}{4}+\frac{\sqrt{15}}{4},\ \ \ \ -\frac{5}{4}-\frac{\sqrt{15}}{4}\right\}$  

•  $\left\{\frac{5}{4}+\frac{\sqrt{65}}{4}i,\ \ \ \ \frac{5}{4}-\frac{\sqrt{65}}{4}i\right\}$  

 $f\left(x\right)=5x^3-8x^2-3$  

 $g\left(x\right)=2x^3+4x^2-7$  

Find  $f\left(x\right)-g\left(x\right).$  

•  $5x^2-3x+9$  

•  $-12x^2+3x+9$  

•  $3x^3-4x^2-10$  

•  $3x^3-12x^2+4$  

Solve with binomial expansion.   $\left(4-2x\right)^3$  

•  $64+96x+48x^2+8x^3$  

•  $64+96x+48x^2-8x^3$  

•  $64-96x+48x^2+8x^3$  

•  $64-96x+48x^2-8x^3$  

 $f\left(x\right)=2x-8$  Find the inverse:

•  $f^{-1}\left(x\right)=-2x+4$  

•  $f^{-1}\left(x\right)=-4x+2$  

•  $f^{-1}\left(x\right)=\frac{1}{2}x+4$  

•  $f^{-1}\left(x\right)=\frac{1}{2}x-4$  

How many roots does  $y=x^4+x-2$  have?

• 1 root

• 2 roots

• 4 roots

• 5 roots