Question

factor 4x^2 - 4x + 1 = 0

Answer 1

I know the outcome would be (2x-1)=0, but what is the method?

Answer 2

What do you mean by method??

Answer 3

How exactly do you get it, how do you factor it.

Answer 4

I completely forgot how to factor these types of problems.

Answer 5

Complete the square

Answer 6

Ah, alright. Do you think you can show me how to do it again?

Answer 7

This website might be a little helpful! http://www.mathsisfun.com/algebra/completing-square.html

Answer 8

You need factors of 4*1 = 4 that sum to -4. What are they? and I'll help you with the next step.

Answer 9

Well that would be just -2.

Answer 10

Right, -2 * -2 = 4. since the factors are the same, you know you have a perfect square trinomial, which factors into the same factor, twice.

Answer 11

Thefactors of 4x^2 are 2x and 2x; the factors of +1 are -1 and -1, so the trinomial factors into (2x-1)(2x-1) or (2x-1)^2

Answer 12

Each factor produces the same root (solution) when set equal to zero, so you just have to solve 2x - 1 = 0 by adding 1 and dividing by 2.

Answer 13

Perfect Square Factoring Formulas
a² - 2ab + b² = (a - b)²
a² + 2ab + b² = (a + b)²

Answer 14

Ah alright. That makes more sense. I got confused for a second.

Answer 15

In your case, a is 2x, and b is 1 in the top formula

Answer 16

Alright thanks man.

Answer 17

ur welcome