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



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J.L.
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Ummm where's the exponenets

ToriaMichelle
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18, 9,5,10

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

ToriaMichelle
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yes

J.L.
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@Calcmathlete I think you'd be better at this than me :)

Calcmathlete
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Find factors of 14 that add up to 9.

ToriaMichelle
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idk that's why i'm asking for help

J.L.
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so it would be 2 and 7

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

Calcmathlete
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Remember. THese are exponents. \[w^9 \times w^9 = w^{9 + 9} = w^{18}\]

ToriaMichelle
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so would that be the answer?

Calcmathlete
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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.

ToriaMichelle
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thank you so much you guys!

Calcmathlete
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np :)