### Home > CCA2 > Chapter 10 > Lesson 10.1.2 > Problem10-39

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.

$y=\frac{1}{4}(x-3)(x-2)(x+1)$