Question

What is the value of a in the polynomial

Answer 1

Answer: a= 16

Explanation:

We have the following expression:

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

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

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

until you transform it to the form:

`y^3 +4y^2 +ay -4y^2 -ay-64`

Then we have

`(y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\`

Therefore the value of a in the polynomial is 16