Question

find the remainder when x³+3x²+3x+1 is divided by x+1​

Answer 1

Answer:

hence, the remainder will be zero...

Answer 2

Answer:

0.

Step-by-step explanation:

Given :

$\large \text{ p(x)=x^3+3x^2+3x+1 and g(x)=x+1 }$

Zeroes of g ( x ) = x  + 1 = 0

x = - 1

Now putting x = - 1 in p ( x ) we get

$\large p(x)=x^3+3x^2+3x+1\\\\\\\large p(-1)=(-1)^3+3(-1)^2+3(-1)+1\\\\\\\large p(-1)=-1+3-3+1\\\\\\\large p(-1)=0$

So remainser is 0.

Also know :

If we put g ( x) value and remainder comes zero then g ( x ) is a

factor of polynomial x.