How i solve the question of class 9th of Polynomials chapter of exercise 2.4 of math, i don’t know how to solve this problem in simple way it is very tough question for class 9th give me the best and easy way for solving this question Determine which of the following polynomials has (x + 1) a factor:(iii) x4+3×3+3×2+x+1
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Determine which of the following polynomials has (x + 1) a factor:(iii) x4+3×3+3×2+x+1 Q.1(3)
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Let p(x)= x4+3x3+3x2+x+1
The zero of x+1 is -1.
p(−1)=(−1)4+3(−1)3+3(−1)2+(−1)+1
=1−3+3−1+1
=1 ≠ 0
∴By factor theorem, x+1 is not a factor of x4+3x3+3x2+x+1