Determine which of the following polynomial has a factor (x+1)..i)x^2+x^2+x+1
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hi.
for x-1=0,we have x=-1
•°• the zero of x +1 is -1
p(x)= x^3+x^2+x+1
p(x)=(-1)^3+(-1)^2+(-1)+1
=-1+1-1+1=0
i. e when p(x) is divided by (x+1),then the remainder is zero •°•(x+1) is a factor
for x-1=0,we have x=-1
•°• the zero of x +1 is -1
p(x)= x^3+x^2+x+1
p(x)=(-1)^3+(-1)^2+(-1)+1
=-1+1-1+1=0
i. e when p(x) is divided by (x+1),then the remainder is zero •°•(x+1) is a factor
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