Question

factor completely.
x² - 10x - 24
enter your answer in the box.

Explanation:

Step1: Find pair of factors of -24

We need two numbers that multiply to $-24$ and add to $-10$. The pair is $-12$ and $2$, since $(-12) \times 2 = -24$ and $-12 + 2 = -10$.

Step2: Rewrite trinomial as factored form

Substitute the pair into the binomial factors for $x^2 + bx + c = (x + m)(x + n)$, where $m$ and $n$ are the found factors.

Answer:

$(x - 12)(x + 2)$