Question

whats is the GCF OF 2X^2-4X2?

Answer 1

the x part looks simple enough, they both have an x^2 in common right?

Answer 2

YEA

Answer 3

a simple way to determine this is to simply write out the factors of each one and compare

4x^2 factors to: 1,2,4, x,x
2x^2 factors to: 1,2 x,x

what is the biggest factor they have in common?

Answer 4

2

Answer 5

great :) than thats our answer; 2 and those xx parts are common to them all

2x^2

Answer 6

ok thanks i got another one

Answer 7

the process is the same regardless of the numbers :) so whatcha got?

Answer 8

8x^9y^6+4x^7y^5-16x^4y^3?

Answer 9

dag nab ask your math teacher what is the greatest common factor of 365 !

Answer 10

if you want a "greatest common factor" you have to have separate terms. i know what the problem wants. it wants the greatest common factor of each term, but the question makes no sense as asked

Answer 11

lets split our terms up and factor them out

8 x^9 y^6 : 1,2,4,8 x,x,x,x,x,x,x,x y,y,y,y,y,y
4 x^7 y^5 1,2,4 x,x,x,x,x,x,x y,y,y,y,y
16 x^4 y^3 1,2,4,8,16 x,x,x,x y,y,y

now we determine what it is the all have in common

Answer 12

8

Answer 13

colse; but 4 doesnt have an 8 as a factor; look again please

Answer 14

the greatest common factor of
\[8x^9y^6, 4x^7y^5,16x^4y^3\] is
\[4x^4y^3\] because that is a factor that each term has in common

Answer 15

4

Answer 16

no wonder students are confused.

Answer 17

4 is good; that is the number part; how many xs do they have in common ?

Answer 18

hint: its always gonna be the smallest amount that you see

Answer 19

8 x^9 y^6 : 1,2,4,8 x,x,x,x,x,x,x,x y,y,y,y,y,y
4 x^7 y^5 1,2,4 x,x,x,x,x,x,x y,y,y,y,y
16 x^4 y^3 1,2,4,8,16 \(\underbrace {x,x,x,x}\) \(\underbrace{y,y,y}\)
^

Answer 20

2

Answer 21

we have a number 4 in common; look again and see how many xs they have in common