### Home > CCA2 > Chapter 8 > Lesson 8.3.1 > Problem8-125

8-125.

Consider the equation $5x^2 - 7x - 6 = 0$ as you answer the questions in parts (a) through (d) below.

1. What are the factors of $5x^2 - 7x - 6$?

$(5x + 3)(x - 2)$

2. What are the solutions to the equation?

Use the Zero Product Property.

3. Explain the relationship between the factors of the polynomial expression and the solutions to the equation.

The solutions are the values that make the factors equal to $0$.

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

$3$ and $2$ are factors of $6$ while $5$ is a factor of the lead coefficient.

Watch the video below if you need help remembering how to factor quadratics. If you only need a little help, jump to 2:28 in the video. Click the following link for a full version: Factoring Quadratics Video