How do you factor the trinomial x^2+13x+36=0?

1 Answer
Feb 4, 2016

Explanation is given below

Explanation:

I think you mean how to solve the quadratic using factorization.

x^2+13x+36=0

Let us start by finding factors of 36

36 = 2xx18
36= 3xx12
36 = 4xx9
36=6xx6

Now we need to find which pair gives the sum of 13 which is the middle term.

We can see 4+9 =13 therefore the factors of
x^2+13x+36 is (x+4)(x+9)

Now solving the quadratic equation

x^2+13x+36 = 0
(x+4)(x+9)=0

By the zero product rule we get

x+4=0 or x+9=0

x=-4 or x=-9

The solution set would be {-9,-4}