Yesterday i was doing this question of class 9th ncert book of Polynomials chapter of exercise 2.4 of question no.1(2) how i solve this tough question give me the best way for solving this problem Determine which of the following polynomials has (x + 1) a factor:(ii) x4+x3+x2+x+1
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Determine which of the following polynomials has (x + 1) a factor:(ii) x4+x3+x2+x+1 Q.1(2)
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Let p(x)= x4+x3+x2+x+1
The zero of x+1 is -1. . [x+1= 0 means x = -1]
p(−1) = (−1)4+(−1)3+(−1)2+(−1)+1
= 1−1+1−1+1
= 1 ≠ 0
∴By factor theorem, x+1 is not a factor of x4 + x3 + x2 + x + 1