is (x+1) a factor of xcube + x square + x + 1
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Here is your answer !!
↪To check that (x + 1) is the factor we will put value of x in the given polynomial .
↪Hence ,
↪x + 1 = 0
↪x = -1
↪p ( x ) = x ^3 + x ^2 + x + 1
↪( -1 )^3 + ( -1 )^2 + ( -1 ) + 1 = 0
↪- 1 + 1 - 1 + 1 = 0
↪0 = 0
↪Hence zero is the required answer
↪( x + 1 ) is the factor of given polynomial.
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