Question

How do you use polynomial synthetic division to divide `(x^3+8)div(x+2)` and write the polynomial in the form `p(x)=d(x)q(x)+r(x)`?

Answer 1

`x^2-2x+4`

Explanation:

Let's use the formula :

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

`(x^3+8)/(x+2)=(x^3+2^3)/(x+2)=(cancel((x+2))(x^2-2x+4))/cancel(x+2)=`

`x^2-2x+4`