#Factoring Common Monomial Factor
jade wharfBOT
polar smelt
Btw my Current answer is:
Common Factor = 7x
Remaining Factor = -x - 8 + 7x
Factored Form = (7x)(-x - 8 +7x)
craggy bane
Showing your work is great.
Try multiplying the 7x back into the brackets, and you will see whether it's right or not.
(you're not quite right, but your close and I think you'll see the answer when you do the check)
polar smelt
Ok I will try to check
oh so is what are you saying to check whether your answer is right you need to multiply 7x to the brackets and check whether the answer matches the expression then its correct?
polar smelt
(you're not quite right, but your close and I think you'll see the answer when y...
my answer rn is -7x^2 = 56x + 49x^2
craggy bane
So when you multiplied back in, you didn't get the same thing
So something was off
Notice that if you factor out 7x, then when you multiply it back in, everything will have an x
but the original expression has a +49 on the end with no x
polar smelt
so how can i remove the x^2 from the 49?
craggy bane
You can't. The point is that your answer didn't work when you checked it, so you have the wrong answer.
polar smelt
oh ok i will try to find another answer
polar smelt
wait dude the only thing i can think of is for removing the x from the gcf
and my i ask a question? can you have a negative gcf and when can i have a negative gcf?
polar smelt
wait dude the only thing i can think of is for removing the x from the gcf
but idk how to remove it
polar smelt
OK IK THE ANSWER NOW IM STUPID
New Answer
CF: -7
RF: (x^2 + 8x - 7)
FF: -7(x^2 + 8x - 7)
is that correct?
craggy bane
is that correct?
You can test it for yourself by multiplying the -7 back in!
As for a negative gcf, you can always have a negative gcf. It's personal choice whether you want to or not.
My personal taste is that I want the leading coefficient inside the brackets to be positive, so I would use a negative gcf here as you did so that x^2 is positive inside the brackets.
polar smelt
Oh ok