Question

Divide. If there is a remainder, express it in the form r x − 3 . ( x 3 − 27 ) ÷ ( x − 3 ) =

Answer 1

x^2 +3x +9

Explanation:

The factoring of the difference of cubes is a standard form you should keep handy:

a³ -b³ = (a -b)(a² +ab +b²)

Here, you have a=x, b=3, so the division is ...

`(x^3-27)/(x-3)=((x-3)(x^2+3x+9))/(x-3)=x^2+3x+9`

There is no remainder.