Question

45x^2, 12x^3,30x^4 FIND THE GCFFF

Answer 1

So let's pretend none of the exponents are there. What is the GCF of 45, 12, and 30?

Answer 2

3

Answer 3

Correct. Now,
x^2 is equal to x * x
x^3 is equal to x * x * x
x^4 is equal to x * x * x
What do all of them have in common?

Answer 4

idk

Answer 5

My bad, x^4 is x * x * x * x

Answer 6

How many x's in x ^ 2?

Answer 7

i still don't get it? 2

Answer 8

Yea.
How many x's in x^3?

Answer 9

3

Answer 10

and x^4?

Answer 11

4

Answer 12

Would you agree that they all share atleast 2 x's?

Answer 13

omg idk

Answer 14

Don't give up so easily.
You said that x^2 has 2 x's
x^3 has 3 x's
and x^4 has 4 x's
Therefore, they all have atleast 2 x's, which is the gcf.

Answer 15

What is x times x in exponent form?

Answer 16

i don't understand what your saying

Answer 17

x times x is x^2

Answer 18

Oh okay. Let me rephrase it.
Lets just look at the numbers with just exponents since we already found the GCF of them
x^2 is a part of the first number
x^2 is equal to x times x.
Do you understand so far?

Answer 19

yea

Answer 20

Alright.
x^2 is equal to x times x
x^3 is equal to x times x times x
x^4 is equal to x times x times x times x.
All three of these numbers have at least 2 x's. This is equal to x times x which is also equal to x^2. This is the GCF.

Answer 21

i just need to know the exponets for the answer

Answer 22

Now we multiply the 3 you got in the beginning to x^2 and you should get 3x^2

Answer 23

I'm sorry for not being that great of an explainer. I tried my best.