Question

The factored form of a quadratic expression is (3x - 4)(x + 5). What are the x-intercepts of the related quadratic function?
3/4 and -5
4/3 and -5
-3/4 and 5
-4/3 and 5

Answer 1

In this question, we're trying to find the x intercepts from the given quadratic expression.

To find the x intercepts, solve for x:

(3x - 4)(x + 5)

(3x - 4):

3x - 4 = 0

add 4 to both sides

3x = 4

divide both sides by 3

x = 4/3

(x + 5):

x + 5 = 0

subtract 5 from both sides

x = -5

This means that the x intercepts are 4/3 and -5

Answer:

4/3 and -5