Question

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

Answer 1

(x-8)(x+3)

Explanation:

you could use the formula:

(a-b)(a+b)=a^2+b^2

Double checking our work:

(x-8)(x+3)

x^2+3x-8x-24

x^2-5x-24

Answer 2

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)`