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ToriaMichelle

  • 3 years ago

Factor the following trinomial. w18 – 9w9y5 + 14y10

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  1. J.L.
    • 3 years ago
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    Ummm where's the exponenets

  2. ToriaMichelle
    • 3 years ago
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    18, 9,5,10

  3. J.L.
    • 3 years ago
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    \[w ^{18}-9w ^{9}y ^{5}+14y ^{10}\] Does it look like this?

  4. ToriaMichelle
    • 3 years ago
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    yes

  5. J.L.
    • 3 years ago
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    @Calcmathlete I think you'd be better at this than me :)

  6. Calcmathlete
    • 3 years ago
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    Find factors of 14 that add up to -9.

  7. ToriaMichelle
    • 3 years ago
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    idk that's why i'm asking for help

  8. J.L.
    • 3 years ago
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    so it would be -2 and -7

  9. Calcmathlete
    • 3 years ago
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    Ok. Even though it looks a lot different, it is still a factorable trinomial. \[w ^{18}-9w ^{9}y ^{5}+14y ^{10} \implies (w^9 - 2y^5)(w^9 - 7y^5)\]

  10. Calcmathlete
    • 3 years ago
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    Remember. THese are exponents. \[w^9 \times w^9 = w^{9 + 9} = w^{18}\]

  11. ToriaMichelle
    • 3 years ago
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    so would that be the answer?

  12. Calcmathlete
    • 3 years ago
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    \[w ^{18}-9w ^{9}y ^{5}+14y ^{10} \implies (w^9 - 2y^5)(w^9 - 7y^5)\] The one on the right is the answer.

  13. ToriaMichelle
    • 3 years ago
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    thank you so much you guys!

  14. Calcmathlete
    • 3 years ago
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    np :)

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