Math, asked by suhani9575, 1 year ago

find the remainder when x^3+3x^+3x+1 is divided by x+1​

Answers

Answered by Anonymous
12

Answer :-

→ 0 .

Step-by-step explanation :-

By using remainder theorem .

We have,

p(x) = x³ + 3x² + 3x + 1 .

And, g(x) = x + 1 .

Let g(x) be the factor of p(x) .

Then, g(x) = 0 .

==> x + 1 = 0 .

 \therefore x = -1 .

Now,

°•° p(x) = x³ + 3x² + 3x + 1 .

==> p(-1) = (-1)³ + 3(-1)² + 3(-1) + 1 .

= -1 + 3 - 3 + 1 .

= 0 .

Hence, remainder will be 0 .

Answered by Neer1332
2

Answer:

By trail and error method

P(x) =x³+3x²+3x+1

=  x +1 =0

=   x= -1

P(-1)=(-1)³+3(-1)²+3(-1)+1

      = -1 +3 -3 +1

 remainder = 0

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