Graph f(x)=2x^{3}-4x^2+x+8, and then answer [2], [3], and [4]

What are the x-coordinate(s) of extrema for [1]?

for [1] describe the end behavior

What are the zero(s) of [1]?

Which is the Remainder Theorem?

Which is the Factor Theorem?

What does the Factor Theorem mean?

Is

a factor of

Is

a factor of

Given f(x)=3x^{2}+2x+k and the remainder when f(x) is divided by x-3is 32, then what is the value of k?

f(x)=2x^{3}-5x^2-28x+15

Given that x+3 is a factor of f(x), find the other factor.

Use [11]: Finish factoring f(x). Write f(x) as a product of all three factors.

Use [12]: State zeros of f(x).

Confirm your answer to [13] by graphing the polynomial.

Why does the graph confirm your answers?

Given g(x)=x^{3}-x^2-10x-8.

If x+2 is a factor of g(x), find the other factor.

Use [16]: Factor g(x) completly. Write g(x) as a product of all three factors.

Write a polynomial function, p(x), that has a double zero of 1, and a double zero of -5.

Check [18] by graphing your equation.

Choose all that are true