Answer:
A. (x+5)
Step-by-step explanation:
We are given a quadratic expression [tex]x^2+8x+15[/tex] which we will factorize to see which of the given options is a binomial factor of it.
[tex]x^2+8x+15[/tex]
Finding the factors of 15 such that when added, they give a result of 8.
[tex]x^2+3x+5x+15\\\\x(x+3)+5(x+3)\\\\(x+3)(x+5)[/tex]
Therefore, we can see that [tex](x+5)[/tex] is that binomial factor that is present in the given options so option A. (x+5) is the correct answer.
