### Home > A2C > Chapter 9 > Lesson 9.3.1 > Problem9-126

9-126.
1. Consider the equation 5x2 − 7x − 6 = 0 as you answer the questions in parts (a) through (d) below. Homework Help ✎

1. What are the factors of 5x2 − 7x − 6?

2. What are the solutions to the equation?

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

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

(5x + 3)(x − 2)

Use the factors to find the values.

$\textit{x}=2,\,-\frac{3}{5}$

The relationship is that the solutions are the numbers that would make the factors equal to 0.

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