Question

EXERCISE - 2.4
Determine which of the following polynomials has (x+1) as a factor
(I)
${x3} - x2 - x + 1$
​

Answer 1

Explanation:

Apply remainder theorem

x+1=0

x=−1

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

(i) x ^3 +x ^2-x +1 =0, x = -1

(-1)^3+(−1)^2- (−1)+1

= −1+1−1+1=0

Then x+1 is the factor of equation