Question

How do you factor f(x)=x^2+3x-40

Answer 1

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

Explanation:

Factor by grouping

`f(x)=x^2+3x-40\\f(x)=x^2-5x+8x-40\\f(x)=x(x-5)+8(x-5)\\f(x)=(x+8)(x-5)`

Answer 2

Answer: f(x) = (x - 5)(x + 8)

Explanation:

To factor, we will find two numbers that multiply to -40 and add to 3. We know that -5 and 8 multiply to -40 and add to 3, so we will use these two numbers.

Given:

f(x) = x² + 3x - 40

Factor:

f(x) = (x - 5)(x + 8)