# How do you factor #5x^2-22x+8#?

##### 2 Answers

Factor: y = 5x^2 - 22x + 8

Ans: (5x - 2)(x - 4)

#### Explanation:

Use the new AC Method to factor trinomial (Socratic Search):

Converted trinomial:

Find p' and q', that have same sign, knowing sum (b = -22) and product (ac = 40). They are: p' = - 2 and q' = - 20

Therefor:

Factored form of y:

#### Explanation:

Find factors of

The factors of

It may take a bit of trial and error, but notice that

The positive sign of

ADD the factors and the signs will be the SAME

The negative sign of

The factors are