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

Answer:

$x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )$

Step-by-step 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

$x^{3} +2^{3}=(x+2)(x^{2} -x\times2+2^{2} )$

$x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )$