### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem8-95

8-95.

Consider the equation $5x^{2} – 7x – 6 = 0$ as you complete the parts below. .

1. What are the factors of $5x^{2} – 7x – 6$?

$\left(5x + 3\right)\left(x − 2\right)$

2. What are the solutions to the equation $5x^{2} – 7x – 6 = 0$?

Use the Zero Product Property.

3. How are the solutions to the equation related to the leading coefficient and constant term in the original polynomial?

The solutions are the values that make the factors equal to $0$.
How are the solutions related to the original equation?