Question

Find the remainder of the polynomial x2+ 3x²+ 3x+1 divided by x + 1
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Answer 1

Step-by-step explanation:

By remainder theorem

x+1=0

x=−1

p(x)=x

3

+3x

2

−3x−1p(−1)

=(−1)

3

+3(−1)

2

−3(−1)−1

=−1+3(1)+3−1

=−1+3+3−1

=6−2

=4

Thus remainder is 4

Answer 2

Answer:

Remainder = x+1

Step-by-step explanation:

            x²  + 2x               Quotient

 x+1       x3 +3 x²   + 3x  +1

         (-) x3 + 1 x²      

                    2 x ² +3x +1

          (-)       2 x² +2x      

                            x + 1  Remainder