Question

Factor out the greatest common factor.

3x + 27x^2










A.

3x(9x)








B.

3x(x + 9x^2)








C.

3x(x + 9x)








D.

3x(1 + 9x)

Answer 1

What have you done so far? What does "greatest common factor" mean to you? Please share your work and explain your reasoning.

Answer 2

I got A, because the greatest common factor of both numbers is 3, but im kinda confused.

Answer 3

Is 3 the ONLY factor common to all of the terms of this expression?

Answer 4

3x

Answer 5

Can you divide every term of the given expression by 3x?

Answer 6

yeah, and I think you get x+9x

Answer 7

But x+9x has x in both terms, doesn't it? 3x is common to both terms of the given expression. There is no greater common factor, is there? So...what is your conclusion? Again, think: which of the four possible answer choices seems to make the most sense?

Answer 8

Try this division:\[\frac{ 3x+27x^2 }{ 3x }\] and compare the the result to your last answer.

Answer 9

What is (3x) / (3X) ?

Answer 10

one

Answer 11

Right. But you told me earlier that the quotient was x + 9x. Would you still stick with that response, or modify it?

Answer 12

Again: Which answer is the correct one?

Answer 13

I would go with D

Answer 14

Agreed. any further questions or concerns about this math problem?

Answer 15

No, Thank you, (:

Answer 16

Glad to interact with you. See you again on OpenStudy. :)