anonymous
  • anonymous
Factor the following trinomial. w18 – 9w9y5 + 14y10
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Ummm where's the exponenets
anonymous
  • anonymous
18, 9,5,10
anonymous
  • anonymous
\[w ^{18}-9w ^{9}y ^{5}+14y ^{10}\] Does it look like this?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
@Calcmathlete I think you'd be better at this than me :)
anonymous
  • anonymous
Find factors of 14 that add up to -9.
anonymous
  • anonymous
idk that's why i'm asking for help
anonymous
  • anonymous
so it would be -2 and -7
anonymous
  • anonymous
Ok. Even though it looks a lot different, it is still a factorable trinomial. \[w ^{18}-9w ^{9}y ^{5}+14y ^{10} \implies (w^9 - 2y^5)(w^9 - 7y^5)\]
anonymous
  • anonymous
Remember. THese are exponents. \[w^9 \times w^9 = w^{9 + 9} = w^{18}\]
anonymous
  • anonymous
so would that be the answer?
anonymous
  • anonymous
\[w ^{18}-9w ^{9}y ^{5}+14y ^{10} \implies (w^9 - 2y^5)(w^9 - 7y^5)\] The one on the right is the answer.
anonymous
  • anonymous
thank you so much you guys!
anonymous
  • anonymous
np :)

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