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x+1 is a factor of the polynomial...

`x+1` is a factor of the polynomial

A

`x^(3)+x^(2)-x+1`

B

`x^(3)+x^(2) +x+1`

C

`x^(4)+x^(3)+x^(2)+1`

D

`x^(4)+3x^(3)+3x^(2)+x+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Let assume (x+1) is factor of ` x^(3)+x^(2)+x+1` .
SO`" " x=-1` is zero of `x^(3) +x^(2)+x+1`
`therefore " " (-1)^(3)+(-1)^(2)+(-1)+1=0`
` implies -1+1-1+10implies 0=0`
Hence ,our assumption is true ,
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NCERT EXEMPLAR-POLYNOMIALS-Polynomials
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