factor the polynomial 6w4 - 54w2

Question

Factor each polynomial completely

 

6w4 - 54w2

 

9w- w3

 

3h2t  + 6ht + 3t

 

Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Factor
GCF
Prime factors
Perfect square
Grouping

Answer 1

    6W^4 - 54W^2

 

= 6w^2 ( W^2 -9)

 

= 6W^2 (W + 3)(W - 3)

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    9W - W^3

 

= W (9 - W^2)

 

= W (3 + W)(3 - W)

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    3h^2(t)  + 6ht +3t

 

= 3t (h^2 +2h + 1)

 

= 3t (h + 1)(h + 1)

 

= 3t (h + 1)^2