### Home > INT3 > Chapter 9 > Lesson 9.1.7 > Problem 9-94

9-94.

What is the equation of a third degree polynomial that has roots *x* = 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*.