# How do you factor completely: #35x^2-54x+16#?

##### 2 Answers

Use quadratic formula to find roots of

#### Explanation:

Let

This is of the form

That is

So

Hence:

Factor

Ans:

#### Explanation:

I use the new AC Method to factor trinomials (Google, Yahoo Search)

Converted trinomial:

Find 2 numbers p' and q' knowing sum (-54 = b) and product (ac = 560)'. Here p' and q' have same sign.

Factor pairs of ac = 560 --> (10, 56)(14, 40). This sum is 54 = -b. Change the sum to the opposite.

Then p' = -14, and q' = -40, Therefore,

Factored form: