Question

question 9 of 10
which of the binomials below is a factor of this trinomial?
x²+x-30
a. x+6
b. x-3
c. x+3
d. x-6

Explanation:

Step1: Factor the trinomial

To factor \(x^2 + x - 30\), we need two numbers that multiply to \(-30\) and add up to \(1\). The numbers are \(6\) and \(-5\) because \(6\times(-5)=-30\) and \(6 + (-5)=1\).
So, \(x^2 + x - 30=(x + 6)(x - 5)\).
Looking at the options, \(x + 6\) (Option A) is a factor.

Answer:

A. \(x + 6\)