### Home > INT3 > Chapter 9 > Lesson 9.1.7 > Problem9-94

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.

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