Question

what is the quotient if x3 - 1 is divided by x2 + x + 1 ?​

Answer 1

Answer:

We have x

3

+1=(x+1)(x

2

−x+1).

Now,

(x+1)

x

3

+1

=

x+1

(x+1)(x

2

−x+1)

=(x

2

−x+1).

So when x

3

+1 is divided by (x+1) then the quotient be x

2

−x+1 and the remainder will be 0 [ Since x

3

+1 is perfectly divisible by (x+1)]..