ToriaMichelle Group Title Factor the following trinomial. w18 – 9w9y5 + 14y10 2 years ago 2 years ago

1. J.L.

Ummm where's the exponenets

2. ToriaMichelle

18, 9,5,10

3. J.L.

$w ^{18}-9w ^{9}y ^{5}+14y ^{10}$ Does it look like this?

4. ToriaMichelle

yes

5. J.L.

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

6. Calcmathlete

Find factors of 14 that add up to -9.

7. ToriaMichelle

idk that's why i'm asking for help

8. J.L.

so it would be -2 and -7

9. Calcmathlete

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

Remember. THese are exponents. $w^9 \times w^9 = w^{9 + 9} = w^{18}$

11. ToriaMichelle

so would that be the answer?

12. Calcmathlete

$w ^{18}-9w ^{9}y ^{5}+14y ^{10} \implies (w^9 - 2y^5)(w^9 - 7y^5)$ The one on the right is the answer.

13. ToriaMichelle

thank you so much you guys!

14. Calcmathlete

np :)