CPM Homework Help : A2C Problem 11-14

Find the equation of a third degree polynomial that has the roots $3$ , $2$ , and $−1$ and passes through the point $\left(1, 1\right)$ .

Hint:

Construct a polynomial equation from the given roots.

More Help:

$f\left(x\right) = a\left(x − 3\right)\left(x − 2\right)\left(x + 1\right)$

Solve for a by substituting in the given point.