CPM Homework Help : A2C Problem 12-52

A polynomial graph has a double root at $\left(−2, 0\right)$ , a single root at $\left(2, 0\right)$ , and passes through $\left(−1, 6\right)$ . Find the exact equation of the function.

Hint:

Write an equation using the given roots.

$y = a\left(x + 2\right)^{2} \left(x − 2\right)$

More Help:

Substitute the given point to find the value of a.

Answer:

$y = −2\left(x + 2\right)^{2}\left(x − 2\right)$