Question

Compute each quotient using the identities you discovered in this lesson.x^4-16/x-2

Answer 1

The quotient will be
`(x^2+4)(x+2)`

Explanation:

We have given the equation
`(x^4-16)/(x-2)`

We have to find the quotient

From algebraic equation we know that
`a^2-b^2=(a+b)(a-b)`

So
`(x^4-16)/(x-2)=((x^2)^2-4^2)/(x-2)=((x^2+4)(x^2-4))/(x-2)=((x^2+4)(x+2)(x-2))/(x-2)=(x^2+4)(x+2)`

So the quotient will be
`(x^2+4)(x+2)`