Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1 -Maths 9th

Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1 -Maths 9th
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Solution: Let p(x) = x3+x2+x+1 The zero of x+1 is -1. [x+1 = 0 means x = -1] p(−1) = (−1)3+(−1)2+(−1)+1 = −1+1−1+1 = 0 ∴By factor theorem, x+1 is a factor of x3+x2+x+1
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