Spring Semester Review Algebra 2

Simplify $$\left(3x\right)^2\cdot2x^4$$ .

Simplify $$\frac{3y^2z}{15y^5}$$ . Assume that no variable equals 0.

Todd is simplifying the expression $$\left(3x^4+4x^2\right)\left(x^3-2x^2-1\right)$$ . Which of the following shows the correct product?

Simplify $$3x\left(2x^2-y\right)$$ .

Simplify $$\left(x^2-2x-35\right)\div\left(x+5\right)$$ .

Which represents the correct synthetic division of $$\left(x^2-4x+7\right)\div\left(x-2\right)$$ ?

Factor $$m^2+9m+14$$ completely.

(a)  

Identify the factors for $$t^2+t-6$$ .

Find $$f(3)$$ for $$f(x)=x^2-9x+5$$ .

A factor of $$x^3+4x^2-11x-30$$ is ( x + 2 ). Find the remaining factors.