I have added to the original presentation in response to one of the comments.... the result of 'x' is correct on slide 7, take a look at the new version of this ppt to clear up any confusion about why...
2. Algebraic long division Divide 2 x ³ + 3 x ² - x + 1 by x + 2 x + 2 is the divisor The quotient will be here. 2x³ + 3x² - x + 1 is the dividend
3. Algebraic long division First divide the first term of the dividend, 2 x ³, by x (the first term of the divisor). This gives 2x². This will be the first term of the quotient.