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Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x. What is the value of a in the polynomial?481632
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Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x. What is the value of a in the polynomial?481632

User Muhammad Aamir Ali
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3.2k points

1 Answer

4 votes

The given expression is


(y-4x)(y^2+4y+16)

Let's use the distributive property


y^3+4y^2+16y-4xy^2-16xy-64x

As you cab observe, a must be equal to 16 because that's the coefficient of y and -xy.

Hence, the answer is 16.

User Brian Moeskau
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3.5k points
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