Question

check wheather x+1 is a factor of x3+x+x2+1

Answer 1

Answer:

Consider equation x3+x+x2+1....(i)

X+1=0

X= - 1

Put x= - 1 in equation (i)

(-1)3 +(-1) +(-1)2+1

-1-1+1+1

=0

Therefore x+1 is a factor of x3+x+x2+1

Answer 2

Step-by-step explanation:

x+1 is a factor of x3+x+x2+1

so the value of x is

x+1=0, x=-1.

putting the value of x, that is x=-1.

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

-1-1+1+1

=0

to be a factor it should be 0 .........and the value we are getting is 0 .....hence proved x+1 is a factor of x3+x+x2+1.