By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x4+1;x-1
On performing the long division method to the given polynomial x4+1byx-1 we obtain
Hence,
Quotient =x3+x2+x+1
Remainder = 2.
By actual division, find the quotient and the remainder when (x4+1) is divided by (x - 1). Verify that remainder = f(1).
Question 13 By actual division, find the quotient and the remainder when the first polynomial x4+1 is divided by the polynomial (x - 1)