Question

question 5 of 10
which of the binomials below is a factor of this trinomial?
x²+12x+32
a. x-4
b. x-2
c. x+4
d. x+2

Explanation:

Step1: Factor the trinomial

To factor \(x^2 + 12x + 32\), we need two numbers that multiply to \(32\) and add up to \(12\). The numbers \(8\) and \(4\) satisfy this because \(8\times4 = 32\) and \(8 + 4=12\). So, we can factor the trinomial as \((x + 8)(x + 4)\).

Step2: Identify the factor

From the factored form \((x + 8)(x + 4)\), we can see that \(x + 4\) is a factor. Looking at the options, option C is \(x + 4\).

Answer:

C. \(x + 4\)