Question

What are the x-intercepts for the expression (x-4)(x+5)

Answer 1

C.
`(4, 0)` and
`(-5, 0)`

Explanation:

Given the expression,
`(x - 4)(x + 5)`, the x-intercepts would be the values at which the expression = 0.

Rewrite the expression as:

`(x - 4)(x + 5) = 0`,

Set the first and the second factors equal to 0

`(x - 4) = 0`

`x = 4`

`(x + 5) = 0`

`x = -5`

All the values that make
`(x - 4)(x + 5) = 0` are the x-intercepts of the expression.

x = 4, -5

The point form of the x-intercepts are:

`(4, 0)` and
`(-5, 0)`