Question

Divide (x^3+1) by (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)]..

Answer 2

Step-by-step explanation:

(x^3+1)/(x+1)

={(x)^3+(1)^3}/(x+1)

={(x+1)(x^2-x+1)}/(x+1)

=(x^2-x+1)