### Home > CCA2 > Chapter 10 > Lesson 10.1.2 > Problem 10-39

10-39.

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 ✎

Third-degree means that the highest power of *x* will be 3.

The roots are 3, 2, and −1. These three values make the polynomial equal to 0.

The corresponding polynomial is *y* = *a*(*x* − 3)(*x* − 2)(*x* + 1).

Substitute the point (1, 1) into the polynomial equation to find the value of *a*.