# How do you factor #x^2 + 5x + 6#?

##### 4 Answers

See a solution process below:

#### Explanation:

Because the

Because the constant is a positive and the coefficient for the

Now we need to determine the factors which multiply to 6 and also add to 5:

Factorize of polynomial

#### Explanation:

Equation system:

Then

(x+3)(x+2)

#### Explanation:

Using prime factorization of

since the coefficient of

and then we try adding the two numbers to get the coefficient of

so it will be

if you have a polynomial function

the solution set will be

and using it like this

so for your question

and by using it in the formula

#### Explanation:

The key realization is that we need to think of two numbers that add up to the middle term, and have a product of the middle term.

What two numbers sum up to

After some trial and error, we arrive at

These will be our factors. So we can write our expression as

Hope this helps!