Algebra II Final Review

What is the product of  $\left(3x^2+2\right)\left(2x+2\right)$  

•  $6x^2+10x+4$  

•  $6x^3+6x^2+4x+4$  

•  $6x^3+10x^2+4$  

•  $6x^3+10x+4$  

Determine the equation of the line passing through the two points:  $\left(2,3\right)$  and  $\left(-1,-6\right)$  

•  $y=-3x-3$  

•  $y=-3x+3$  

•  $y=3x+3$  

•  $y=3x-3$  

Factor completely:  $2x^2+13x+15$  

•  $\left(2x-3\right)\left(x+5\right)$  

•  $\left(2x-3\right)\left(x-5\right)$  

•  $\left(2x+3\right)\left(x+5\right)$  

•  $\left(2x+5\right)\left(x+3\right)$  

Choose the function that is described by being: An absolute value function shifted vertically up 3 units and shifted horizontally left 2 units.

• $f\left(x\right)=\left|x+2\right|+3$

• $f\left(x\right)=\left|x+3\right|+2$

• $f\left(x\right)=\left|x-2\right|+3$

• $f\left(x\right)=\left|x+2\right|-3$

Describe the end behavior of the function:  $f\left(x\right)=x^9+6x^7+3x^5+2x^3+x+1$  

• Left: Down

• Left: Up

• Right: Down

• Right: Up

Solve the system of equations:

• $\left(-2,-2,-6\right)$

• $\left(-1,1,-6\right)$

• $\left(-3,2,6\right)$

• $\left(-3,1,6\right)$

Use Synthetic Division to determine:  $\left(x^4+x^3-8x^2-2x+12\right)\div\left(x-2\right)$  

•  $x^3+3x^2+2x+8$  

•  $x^3+3x^2-2x-6$  

•  $x^3-3x^2-2x+8$  

•  $x^3-3x+2x+6$  

Determine ALL the equations of the line passing through the points:  $\left(3,4\right)$  and  $\left(0,-5\right)$  

•  $y=3x-5$  

•  $y+8=3\left(x+1\right)$  

•  $y-3x=-5$  

•  $y=3\left(x-1\right)-2$  

Simplify the expression:  $\frac{5}{2x+1}+\frac{3}{3x+9}$  

•  $\frac{8x+19}{2x^2+7x+3}$  

•  $\frac{7x+16}{2x^2+7x+3}$  

•  $\frac{6x+12}{2x^2+6x+2}$  

•  $\frac{3x+1}{2x^2+2x+1}$  

Solve for x:  $\left(x+3\right)^{\frac{3}{5}}=8$  

•  $x=57$  

•  $x=1$  

•  $x=512$  

•  $x=29$