Question

select the correct answer. which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n=-7? x² - 2x - 35 x² + 35x + 2 x² + 2x - 35 x² - 12x - 35

Explanation:

Step1: Expand the product

$(x + m)(x + n)=x^{2}+nx+mx+mn=x^{2}+(m + n)x+mn$

Step2: Substitute $m = 5$ and $n=-7$

$m + n=5+( - 7)=5 - 7=-2$
$mn=5\times(-7)=-35$

Step3: Get the trinomial

The trinomial is $x^{2}+(m + n)x+mn=x^{2}-2x - 35$

Answer:

$x^{2}-2x - 35$