Polynomial Division 2: Step-by-Step Solution for (x^3-3x^2+12x-5)/(x-2)"

[eddievic]

Homework Statement

Show by polynomial division that

$$\frac{x^3-3x^2+12x-5}{x-2}=(x^2-x+10)+\frac{15}{x-2}$$

The Attempt at a Solution

Please see attachment

 

[SteamKing]

In the attachment, you wrote the divisor as 'x' instead of 'x - 2' in the first line, which is incorrect.

 

[eddievic]

so other than that my working is ok?

 

[SteamKing]

You can always check your work by multiplying the quotient by the divisor and adding any remainder, to see if you obtain the original dividend.

 

[eddievic]

ah right that's what I have done on the bottom of the worksheets thanks :)