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

11-14.

Find the equation of a third degree polynomial that has the roots 3, 2, and −1 and passes through the point (1, 1). Homework Help ✎

Construct a polynomial equation from the given roots.

*f*(*x*) = *a*(*x* − 3)(*x* − 2)(*x* + 1)

Solve for *a* by substituting in the given point.