Question

find the remainder p(x)=x³+3x²+3x+1 is divided by x+1

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Answer 1

Answer:

x+1=0

x=-1

p(x)=x³+3x²+3x+1

p(-1)=(-1)³+3(-1)²+3(-1)+1

=-1+3×1-3+1

=-1+3-3+1

=-4+4

=0

Thus, remainder=0