Question

Hey! Can someone check my answers?
1.Find the greatest common factor: 20y^9 +5y^6
A. 5y^6
B. 5y^9 <--
C. 10y^9
D. 20y^3

and

2. Find the greatest common factor: 12xy^5+ 60x^4y^2 – 24x^3y#3.

A. 3x^4y^5
B. 6xy^5
C. 6xy^2 <---
D. 12xy^2
Are these right? Did I do them both wrong? Explain if you can :)

Answer 1

For the first one, you have the number correct, but the exponent..
y^9 can't be taken from y^6, it'd have to be the other way around, so your answer would be A. :)
Hope that makes sense!

Answer 2

Okay so number one would be A? because y^6 can't be taken from?

Answer 3

greatest common factor is the biggest number that can be taken from all the values.
So if you just look at the exponents, 6 and 9.
In your answer, you basically said you could take out 9 from 6, but ('s too big.
You can take 6 from 9 though so that's why it's A :)

Answer 4

For the second question, you have the exponent correct, but the number would 12 :)
It's the same thing, you're making sure that you can take the BIGGEST number out of everything.
So the answer would be D

Answer 5

Oh! Okay. That makes way more sense. Maybe taking out the biigest number, would have been easier Lol.
Thank you so much.

Answer 6

Lol no problem, lemme know if you have more questions :)

Answer 7

Alright! I might have more soon! And I gave you a medal :)