Question

Which of the following represents the factorization of the trinomial below?x²+13x-30A. (x-3)(x+10)B. (x-3)(x-10)C. (x-2)(x-15)D. (x-2)(x+15)

Answer 1

Answer:

D. (x-2) (x+15)

Explanation:

We were given the trinomial:

$x²+13x-30$

We will proceed to factorise as shown below, we have:

$\begin{gathered} x²+13x-30 \\ x²+15x-2x-30 \\ \text{Factoring, we have:} \\ x(x+15)-2(x+15) \\ (x-2)\left(x+15\right) \end{gathered}$

Therefore, the answer is D