# How do you factor #20x^2 + 37x + 15 #?

##### 3 Answers

Use the quadratic formula to find the roots of

#### Explanation:

Let

This is of the form

This has determinant

Since this is a perfect square,

Since we have gone to the trouble of computing the determinant, we might as well use the quadratic formula to find the roots of

That is:

or:

Hence

Use a version of the AC Method to find:

#### Explanation:

Let

Look for a factorization of

Note that one of

Try

That works:

Next, for each of the pairs

So

Factor y = 20x^2 + 37x + 15

Ans: (5x + 3)(4x + 5)

#### Explanation:

I use the new AC Method to factor trinomials.

Converted trinomial

Factor pairs of (300) -> ...(6, 50)(10, 30)(12, 25). This sum is 35 = b.

Then, p' = 12, and q' = 25.

Therefor,

Factored form: