Question

Factor the following trinomials. Place each factor in its own blank. You do NOT need to put

parenthesis, just put one binomial (WITHOUT SPACES) into each blank.
X^2+ 13x + 36

Answer 1

(x+9)(x+4)

Explanation:

We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36

Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q

This means x²+13x+36 can be factored into (x+9)(x+4)