### Home > A2C > Chapter 11 > Lesson 11.1.1 > Problem11-14

11-14.

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

Construct a polynomial equation from the given roots.

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

Solve for a by substituting in the given point.