A refrigerator has a volume given by the trinomial y^3 + 5y^2 - 14y. What are the possible dimensions of the refrigerator? Use factoring.

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Mathematics

12 October, 17:29

A refrigerator has a volume given by the trinomial y^3 + 5y^2 - 14y. What are the possible dimensions of the refrigerator? Use factoring.

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Parker Mooney · Answer 1

Y^3+5y^2-14y

y (y^2+5y-14)

y (y^2+7y-2y-14)

y (y (y+7) - 2 (y+7))

y (y-2) (y+7)

So there are infinite solutions with the only restriction being that y>2 as V>0