Question

The polynomial x3 + 8 is equal to

Answer 1

The polynomial x3+8 is equal to (x+2)(x2-2x+4)

Hope this helps:)

Answer 2

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

Explanation:

The general expansion of a polynomial of type
`a^(3) +b^(3)` is given as follows:

`a^(3) +b^(3) =(a+b)(a^(2) -ab+b^(2) )`

Given polynomial is
`x^(3) +8`

This can be written as
`x^(3) +2^(3)`, which is of the form
`a^(3) +b^(3)`.

So we can use the general form to expand this polynomial where;

a→x

b→2

`x^(3) +2^(3)=(x+2)(x^(2) -x*2+2^(2) )`

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