Question

Just looking to make sure this problem was done correctly.

Factor the following polynomial completely:
(3x-5)(x-3)-(x-4)(x-3)

The answer I got was 2x-26

Answer 1

I wanted to make sure the answer was correct, so if you wanted to double check it that would be awesome.

Answer 2

Yeah, the foil method is what i did.

Answer 3

well, there is a gcf you can factor out without having to multiply it all and then re-factor. Do you see the common factor?

Answer 4

x

Answer 5

if you pull out a (x-3), you get
(x-3)[(3x-5)-(x-4)]
(x-3)(3x-x-5+4)
(x-3)(2x-1)

Answer 6

Here is what i did:\[(3x-5)(x-3)=3x ^{2}-9x-41 (x-4)(x-3)=x ^{2}-7x+12\]

Answer 7

Then subtracted the trinomials.

Answer 8

I know how the foil method works.

Answer 9

@StefaniTriscuit I found your error. -5x - 9x = -14x , not -9.
Then, -5 x -3 = 15 , not -41. If you fix that, then you've got it right.

Answer 10

Ah! haha, thank you! so obvious now!

Answer 11

you're welcome!