Question

Factor the given polynomial completely. If the polynomial cannot be factored, say that it is prime.

Answer 1

Given a quadratic polynomial

$x^2-5x-24$

Using factorization method

$\begin{gathered} x^2-8x+3x-24 \\ (x^2-8x)+(3x-24) \\ \end{gathered}$

factor out the common factor

$\begin{gathered} x(x-8)+3(x-8) \\ we\text{ have} \\ (x-8)(x+3) \end{gathered}$

The final answer

$x^2-5x-24=(x-8)(x+3)$