Question

find the remainder when x^4+x^3-2x^2+1 is divided by x-1​

Answer 1

Answer:

By remainder theorem,

The Remainder Theorem begins with a polynomial say p(x), where “p(x)” is some polynomial p whose variable is x. Then as per theorem, dividing that polynomial p(x) by some linear factor x – a, where a is just some number.

f(x)=x⁴+x³-2x²+1

x-1=0

x=1

f(1)=1⁴+1³-2(1)²+1

=1+1-2+1=1

so the remainder is 1.