MeowLover17
  • MeowLover17
What is the Greatest Common Factor of x6 and x4?
Mathematics
katieb
  • katieb
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MeowLover17
  • MeowLover17
x^6 and x^4
MeowLover17
  • MeowLover17
x x4 x6 x10
MeowLover17
  • MeowLover17
I think its X

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campbell_st
  • campbell_st
well think of it this way \[x^6 = x^4\times x^2\] this may help you identify the GCF
MeowLover17
  • MeowLover17
well based off of my answer choices i think its X
MeowLover17
  • MeowLover17
but it would be x^2
Nnesha
  • Nnesha
variable with the lowest degree always going to be GCF
Nnesha
  • Nnesha
that's how i remember it ;P
MeowLover17
  • MeowLover17
So is it x?
jim_thompson5910
  • jim_thompson5910
|dw:1437866368657:dw|
campbell_st
  • campbell_st
no its not x^2 what looks the same \[x^6 = x^4 \times x^2 ~~~and~~~~~~x^4\]
MeowLover17
  • MeowLover17
Ahhh so its x^4
jim_thompson5910
  • jim_thompson5910
|dw:1437866420368:dw|
campbell_st
  • campbell_st
that's correct
MeowLover17
  • MeowLover17
Thanks jim :D
MeowLover17
  • MeowLover17
and cambell
jim_thompson5910
  • jim_thompson5910
you're welcome
Nnesha
  • Nnesha
common variable with the smallest degree so in this question x^4 ,x^6 variables are common and smallest exponent is 4 so x^4 would be gcf another example \[\huge\rm x^{!3} , x^{20} ,x^{90}\] variables are common n alll 3 terms and smallest exponent is 13 so x^13 is gcf :=)

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