Question

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

Answer 1

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.