Factor the trinomial below:

Question

x^{2}+-5x+-24

Answer 1

To factor the trinomial x^2 - 5x - 24, we need to find two numbers that multiply to -24 and add up to -5.

The two numbers that fit these criteria are -8 and 3.

Therefore, we can rewrite the trinomial as:
x^2 - 8x + 3x - 24

Now, we can factor by grouping:
x(x - 8) + 3(x - 8)

(x + 3)(x - 8)

Therefore, the factored form of the trinomial x^2 - 5x - 24 is:
(x + 3)(x - 8)