Question

Factor completely.
x^2+3x−40

Answer 1

For anyone who needs this in the future, it's (x + 5)(x - 8).

This is the answer I got from the 4.11 quiz.

Step-by-step explanation:

Answer 2

Factorised form:
`(x+8)(x-5)`

Step-by-step explanation:
This is a quadratic equation, so the easiest way to solve this is by splitting up the middle term. What are two numbers that when multiplied gives -40, and adds to give 3? (8, -5)

You can then split up the middle term like so:
x² + 8x - 5x - 40 = 0

and factorise x² + 8x and -5x -40.
x(x + 8) -5(x + 8) and group together like terms:

`(x - 5)(x + 8)`