Question

question 16 of 25
which of the binomials below is a factor of this trinomial?
$x^2 + 2x - 48$

a. $x - 8$
b. $x + 3$
c. $x + 8$
d. $x - 3$

Explanation:

Step1: Factor the trinomial

To factor \(x^2 + 2x - 48\), we need two numbers that multiply to \(-48\) and add up to \(2\). The numbers are \(8\) and \(-6\) because \(8\times(-6)=-48\) and \(8 + (-6)=2\).
So, \(x^2 + 2x - 48=(x + 8)(x - 6)\)

Step2: Identify the factor

From the factored form \((x + 8)(x - 6)\), we can see that \(x + 8\) is a factor.

Answer:

C. \(x + 8\)