### Home > A2C > Chapter 12 > Lesson 12.1.3 > Problem 12-52

12-52.

A polynomial graph has a double root at (−2, 0), a single root at (2, 0), and passes through (−1, 6). Find the exact equation of the function. Homework Help ✎

Write an equation using the given roots.

*y* = *a*(*x* + 2)^{2} (*x* − 2)

Substitute the given point to find the value of *a*.

*y* = −2(*x* + 2)^{2}(*x* − 2)