Explain how you would factor x^2-5x-24

You must explain EACH step and process t get to your factored solution

The work I have done
- (x-8)(x+3)
I just don't understand how to explain.

1 answer

the numbers in the binary factors are factors of the constant term of the quadratic (-24)

the sum of the numbers is the coefficient of the 1st order term of the quadratic (-5)

the numbers -8 and 3 are factors of -24 that sum to -5

so the factors of the quadratic are
... (x - 8) and (x + 3)

yadda...yadda...yadda