Question

When( x43 +43 )( x43 +43 ) is divided by  ( x + 1 )( x + 1 ), the remainder is ​

Answer 1

Answer:

Here, p(x)=x

100

−x

97

+x

3

,

To check the remainder obtained when p(x) is divided by x+1, equate x+1 to 0 and put that value of x in p(x).

x+1=0⟹x=−1

So,

p(−1)=(−1)

100

−(−1)

97

+(−1)

3

=1+1−1

=1

So, by the Remainder Theorem 1 is the remainder when x

100

−x

97

+x

3

is divided by x+1.