# How do you factor #5y^2-12y+4=0#?

##### 2 Answers

#### Explanation:

Read all the clues which are given in the quadratic trinomial:

We need to find factors of

The factors of 5 and 4 must

The signs in the brackets will be

They will BOTH be

Use factors of 5 and 4 and test the cross-products:

The top row gives the factors in one bracket.

The second gives the factors in the other bracket.

Solving would lead to

(5x - 2)(x - 2)

#### Explanation:

Use the new AC Method (Socratic Search)

Converted trinomial

Method. Find p' and q' then divide them by a to get p and q.

p' and q' have same sign because ac > 0.

Factor pairs of (ac = 20) --> (2, 10)(-2, -10). This last sum is -12 = b.

Then, p' = -2 and q' = -10

Back to f(y) -->

Factor form of f(y):