Question

What is the remainder when (x4+36) is divided by (x^2-8)

Answer 1

100

Explanation:

(x^4 + 36) is divided by (x^2 - 8)

(x^4 + 36) / (x^2 - 8)

where x^4 is divided by x^2 - 8 when multiplied by x^2 (which becomes the quotient)

So the remainder we have is equal to 8x^2 + 36

Now 8x^2 + 36 is further divided by x^2 - 8 where 8x^2 is cancelled and the remainder 35 and 64 are added to give a value of 100.