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Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1 Q.1

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Give me the best way for solving the problem of question from class 9th ncert math of exercise 2.4 of Polynomials chapter of math, give me the easiest way for solving this problem Determine which of the following polynomials has (x + 1) a factor: (i) x3+x2+x+1

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  1. 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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