Question

What are the factors of `x^2-5x-24`?

Answer 1

`(x -8)( x+3)`

Explanation:

In the `Ax^2 + Bx + C` form of the equation the C is negative which means it must have one negative factor and one positive factor.

The B is negative which means that the negative factor is five greater than the positive factor.

`8 xx 3 = 24` `color(white)(...) andcolor(white)(...)` `8-3 = 5`

so the factors that work for 24 are -8 and+ 3

`( x-8)(x+3) = 0`

The factors are `(x-8)` and `(x+3)`