Question

36. Find the difference between the quotient and remainder when
2x4 + 4x2 + 4x – 3 - 7 is divided by (x - 1).​

Answer 1

Using Remainder Theorem, we find the remainder not doing Long Division which says when you divide a polynomial f(x) by (x - c) the remainder is f(c).

x + 2 = 0 => x = -2

f(-2) = 4(-2)^3 - 3(-2)^2 + 2(-2) - 4

f(-2) = -52

The remainder is -52.