Question

My gosh, I love how busy this math section is. <33

I need some help factoring. I would love if someone could walk through with me, as I have a weak spot for factoring polynomials and I really need to begin understanding it. :P

Here's the question: Factor a number, variable, or expression out of the polynomial shown below.

x(6x - 1) - 3(6x - 1)

Answer 1

\(\bf x{\color{blue}{ (6x - 1)}} - 3{\color{blue}{ (6x - 1)}}\)

notice any common factors?

Answer 2

Thanks :P Would that by chance factor out just to one 6x-1?

Answer 3

well... if you take out (6x-1) from the 1st
it's left with only "x"
if you take out (6x-1) from the 2nd one
it's left with only "-3"

thus \(\bf x{\color{blue}{ (6x - 1)}} - 3{\color{blue}{ (6x - 1)}}\implies (6x-1)(x-3)\)

Answer 4

OHHH okay, thanks so much :3

Answer 5

yw