anonymous
  • anonymous
6x^(6) + 8x^(4) - 15x^(3) - 20x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
if you look at the exponents on each term, you notice the first two are even and the last two are odd. you will need to incorporate a grouping strategy. first factor out the great common factor of each of the first two terms of coefficients and then factor out the lowest factor of x of the first two terms also, you should be left with a linear (or nearly linear factor) \[6x^{6} + 8x^{4}\] what is the greatest common factor of 6 and 8? what is the lowest factor of those exponents? what are you left over with?
anonymous
  • anonymous
you do the same with \[-15x^{3} - 20x\]
anonymous
  • anonymous
gcf 48

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More answers

anonymous
  • anonymous
oops i meant least common factor* sorry!
anonymous
  • anonymous
ok so what is the least common multiple*** of 6 and 8?
anonymous
  • anonymous
tht would be 24
anonymous
  • anonymous
dude let her figure it out
anonymous
  • anonymous
oh sorry my bad
anonymous
  • anonymous
robot and toast
anonymous
  • anonymous
ok shirl...ignore what i said up there about the greatest common factor or whatever... what is the least common multiple of 6 and 8?
anonymous
  • anonymous
what is going on here
anonymous
  • anonymous
24
anonymous
  • anonymous
good job shirl
anonymous
  • anonymous
what is mathpath
anonymous
  • anonymous
ok no least common multiple...i.e.. a factor of 6 and 8
anonymous
  • anonymous
dude thats not even the correct answer so shes wrong
anonymous
  • anonymous
r u sure
anonymous
  • anonymous
ok the least common multiple of 6 and 8 is 2 why? because you can factor out a 2 from 6 and 8
anonymous
  • anonymous
it is the name of my organization
anonymous
  • anonymous
how can 2 be a multiple of 6 and 8
anonymous
  • anonymous
i meant factor
anonymous
  • anonymous
oh ok i was wondering........
anonymous
  • anonymous
are you going to help me
anonymous
  • anonymous
ok so now look at the exponents of x \[x^{6} and x^{4}\] which one is lower?
anonymous
  • anonymous
i think she left dude
anonymous
  • anonymous
i'm trying to help you... ok here's a question: can you factor x^4 from x^6 ? answer: yes because x^4(x^2) = x^6 so what you do with the first two terms is factor out the lowest exponent and greatest common factor*** from the ones with the even terms you get : 2x^4 (3x^2 +4) -5x(3x^2 + 4) now if you look at this what do you see in common between the odd and even exponents that were not there before? the factor (3x^2 + 4) now because you are using the grouping idea you can also group the 2x^4 and the -5x. then you can factor (2x^4 - 5x) to x(2x-5) the final answer is x(3x^2 +4)(2x-5)
anonymous
  • anonymous
u explained well robots! ;)
anonymous
  • anonymous
thanks...if that doesn't make sense then i can try to explain it again
anonymous
  • anonymous
well it made sense to me atleast!

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