Question

determine which of the following polynomials has(x+1) as afactor x³-x²-x+1​

Answer 1

Apply remainder theorem

x+1=0

x=−1

Put the value of x=−1 in all equations.

(i) x³ +x²+x+1=(−1)³+(−1)²+(−1)+1=−1+1−1+1=0