Question

Hello, I was wondering whats the soulution to this equation $( {x}^{2} - 3x - 10) \div (x + 2)$

Answer 1

ANSWER

$x-5$

EXPLANATION

We want to divide the given expression:

$\frac{x^2-3x-10}{x+2}$

To do this, first, factor the numerator:

$\begin{gathered} \frac{x^2-5x+2x-10}{x+2} \\ \\ \frac{x(x-5)+2(x-5)}{x+2} \\ \\ \frac{(x+2)(x-5)}{x+2} \end{gathered}$

Now, divide the common bracketed terms in the fraction:

$x-5$

That is the answer.