Question

factor the trinomial completely.
$x^{2}+3x - 4$

select the correct choice below and, if necessary, fill in the answer box within your choice.
\\(\bigcirc\\) a. $x^{2}+3x - 4=\square$
\\(\bigcirc\\) b. the polynomial is prime.

Explanation:

Step1: Find pair of factors for -4

We need two numbers that multiply to $-4$ and add to $3$. These numbers are $4$ and $-1$, since $4 \times (-1) = -4$ and $4 + (-1) = 3$.

Step2: Factor the trinomial

Rewrite the trinomial as a product of two binomials using the found factors.
$x^2 + 3x - 4 = (x + 4)(x - 1)$

Answer:

A. $x^2 + 3x - 4 = (x + 4)(x - 1)$