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

1 Answer

(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 = 24color(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)