### Home > A2C > Chapter 9 > Lesson 9.1.3 > Problem 9-58

9-58.

Write a polynomial equation for a graph that has three *x*-intercepts: (−4, 0), (1, 0), and (3, 0), and passes through the point (−1, 60). Homework Help ✎

Start by writing an equation with those interceptsusing the Zero Product Property.*y* = *a*(*x* + 4)(*x* − 1)(*x* − 3)

Find the stretch factor by substituting the point.

(60) = *a*((−1) + 4)((−1) − 1)((− 1) − 3)

60 = *a*(3)(−2)(−4)

60 = *a*(24)

Make sure to check your answer.