### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem8-103

8-103.

Sketch the graphs of each of the following polynomial functions. Be sure to label the $x$‑ and $y$‑intercepts. Homework Help ✎

1. $y = x\left(2x + 5\right)\left(2x – 7\right)$

Determine the $x$-intercepts using the Zero Product Property.

1. $y = \left(15 – 2x\right)^{2}\left(x + 3\right)$
This is a cubic function, but there are only two $x$-intercepts because on of the factors in squared. This factor creates a double root.