# How do you solve #x^2+10x+9=0#?

##### 1 Answer

To solve the trinomial we would need to factor this into two binomial factors and then set the two factors equal to zero.

First list the factors of

now list the factors of 9, 1 & 9 and 3 & 3.

Place the factors of

(x ) (x ) = 0

Since the second sign of the trinomial is a (+) we know that we need to add the factors and the signs will be the same.

The factors of 9 that will add up to 10 are 1 & 9.

Since the first sign in the trinomial is a (+) we know that both signs will be positive.

(x + 9) (x + 1) = 0

Now set each of the binomials equal to zero, because if the binomial equals zero the product of the binomial solution will equal zero.

x + 9 = 0

x = -9

x + 1 = 0

x = -1

Since the highest exponent (degree) is 2 there will be two solutions.

x = -9 and x = -1

Here is a video on factoring trinomials.

SMARTERTEACHER YouTube