asked 51.6k views
1 vote
Factor completely and then place the factors in the proper location on the grid. x2 + 13 x + 36

asked
User Fustaki
by
7.8k points

1 Answer

4 votes

Answer:

The factored form of this would be (x + 4)(x + 9)

Explanation:

In order to determine the numbers in the parenthesis, we need to find numbers that multiply to the constant (36) and add up to the middle term (13). In order to do that, we list the factors of the constant and look for those that add up to 13.

1, 36

2, 18

3, 12

4, 9

6, 6

As you can see, 4 and 9 are the only pair that satisfy the stipulations. So we place them in a parenthesis with x's and express as the following.

(x + 4)(x + 9)

answered
User Volma
by
8.6k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.