# How do you factor #10x^2-19xy+6y^2#?

##### 2 Answers

Because the sign are,

We can write the following equations:

Three equations and four unknown values is bad.

Let's start by trying 5 for a and 2 for c:

5d+2b=19

Two equations and two unknown values is good but does it work?

Is it

It is

(5x - 2y)(2x - 3y)

#### Explanation:

Consider x as a variable and y as a constant. Factor this quadratic trinomial by the new AC Method (Socratic, Google Search)

Converted trinomial:

Proceeding. Find p' and q', then, divide them by a = 10.

Find 2 numbers knowing the sum (b = - 19y) and product (60y^2).

They are: (-4y) and (-15y). (sum: -19y and product: 60y^2)

Back to f(x)-->

Factored form: