Question

What is the remainder when x4 + 3x3 − x2 + 7x − 1 is divided

by 2 − x ?

A) -27
B) -23
Eliminate
C) 49
D) 53

Answer 1

C). 49.

Explanation:

2 - x = 0 gives x = 2.

By the Remainder theorem the remainder here is f(2).

f(2) = 2^4 + 3.2^3 - 2^2 + 2*7 - 1

= 49.