## Question

###### How do you factor #5x^2-11x+2#?

How do you factor #5x^2-11x+2#?

## Answers

Factor y = 5x^2 - 11x + 2.

Ans: (5x - 1)(x - 2).

## Explanation:

I use the new AC Method to factor trinomials (Socratic Search).

#y = 5x^2 - 11x + 2 =# 5(x + p)(x + q)

Converted trinomial:

#y' = x^2 - 11x + 10 =# (x + p')( x = q').

Find p' and q' knowing sum (b = - 11) and product (ac = 10).

They are: p' = -1, and q' = -10

Therefor:#p = (p')/a = -1/5# , and q = (q')/a = -10/5 = -2

Factored form of y:

#y = 5(x - 1/5)(x - 2) = (5x - 1)(x - 2)#

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