Which of the following has x-1 as a factor
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x³+x²+x+1
x³+x²+x+1
x³+x²+x+1 Let p(x)= x³+x²+x+1
x³+x²+x+1 Let p(x)= x³+x²+x+1
x³+x²+x+1 Let p(x)= x³+x²+x+1
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1.
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1.
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1. On putting x= -1
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1. On putting x= -1p(−1)=(−1)³+(−1)²+(−1)+1
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1. On putting x= -1p(−1)=(−1)³+(−1)²+(−1)+1=−1+1−1+1=0
x³+x²+x+1 Let p(x)= x³+x²+x+1 The zero of x+1 is -1. On putting x= -1p(−1)=(−1)³+(−1)²+(−1)+1=−1+1−1+1=0Hence, by factor theorem, x+1 is a factor of x³+x²+x+1.
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