### Home > A2C > Chapter 10 > Lesson 10.1.1 > Problem 10-24

10-24.

Determine the roots of the equation.

There are three real roots, one at *x* = 2 and two at *x* = −2.

Create a polynomial expressionfrom the roots.

*y* = *a*(*x* + 2)^{2}(*x* − 2)

Use the *y*-intercept to solve for *a*.

(2) = *a*((0) + 2)^{2}((0) − 2)