SOLUTION: The volume of a box is 3p^4 + 16p^3 + 21p^2. The height is p, and the width is p + 3. What is the length?

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Question 41397: The volume of a box is 3p^4 + 16p^3 + 21p^2. The height is p, and the width is p + 3. What is the length?
Answer by venugopalramana(3286) About Me  (Show Source):
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The volume of a box is 3p^4 + 16p^3 + 21p^2.=V=L*W*H
The height is p, and the width is p + 3. What is the length?
L=V/(W*H)
=P^2(3P^2+16P+21)/P(P+3)
=P(3P^2+9P+7P+21)/(P+3)
=P{3P(P+3)+7(P+3)}/(P+3)
=P(3P+7)(P+3)/(P+3)
=P(3P+7)