Question

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

Answer 1

Answer:

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

Step-by-step explanation:

We have given the equation $\frac{x^4-16}{x-2}$

We have to find the quotient

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

So $\frac{x^4-16}{x-2}=\frac{(x^2)^2-4^2}{x-2}=\frac{(x^2+4)(x^2-4)}{x-2}=\frac{(x^2+4)(x+2)(x-2)}{x-2}=(x^2+4)(x+2)$

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