Question

How would you factor 2a^2-4a+2=0

Answer 1

`(2a-2)(a-1)`

Explanation:

To write the factored form, multiply a*c from the standard form
`ax^2+bx+c`. Here it is 2*2 = 4.

Then find factors of 4 that add to b=-4.

4: 1,2,4

-2+-2 = -4

Split the middle term into -2x+-2x and factor by grouping.

`2a^2-2a+-2a+2\\(2a^2-2a)+(-2a+2)\\2a(a-1)-2(a-1)\\(2a-2)(a-1)`