CPM Homework Help : INT3 Problem 9-115

Use your answers to the previous problem to complete each part below.

Factor $x^{3} – 5x^{2} + 11x – 15$ .
Hint (a):
There are $2$ factors. $\left(x − 3\right)$ is one factor. Use long division to find the other factor.

Determine the roots of $P\left(x\right) = x^{3} – 5x^{2} + 11x – 15$ .
Hint (b):
Once the polynomial is factored, use the Zero Product Property to solve.
More Help (b):
This is a $3$ ^rd degree polynomial function, so find $3$ answers. One of the answers is $x = 1 + 2i$ .