How do you factor x^2+14x+45?

3 Answers
Mar 31, 2017

(x+5)(x+9)

Explanation:

In order to the trinomial x^2 + 14x + 45

Begin by finding the factors for the first term

x^2 = x*x

Place those factors as the first term in each parenthesis

(x_ _ )(x _ _ )

Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.

(x + _ _)(x + _ _ )

Now determine the factors of the third term

45 = 1*45, 3*15, 5*9

We need the factors that will add up to the middle term
14 = 5 + 9

Place these factors as the second term in each of the parenthesis.

(x + 5)(x + 9)

Mar 31, 2017

(x+5)(x+9)

Explanation:

The two numbers that add up to 14, and multiply to 45 and 9 and 5.

(x+5)(x+9)

Mar 31, 2017

(x+5)(x+9)

Explanation:

The two numbers that add up to 14, and multiply to 45 and 9 and 5.

(x+5)(x+9)