IM Alg2.2.15 Practice: The Remainder Theorem

For the polynomial function we have . Rewrite as a product of linear factors.

Write a polynomial function, , with degree 3 that has .

Long division was used here to divide the polynomial function by and to divide it by . What is ?

What is ?

Which polynomial function has zeros when ?

Vink alles aan wat van toepassing is

The polynomial function has known factors and . Rewrite as the product of linear factors. You can use the applet below to show your work.

We know these things about a polynomial function f(x): it has degree 3, the leading coefficient is negative, and it has zeros at x=-5,-1,3. Sketch a graph of f(x) given this information.