EX – Synthetic division (x³ -13x +12) / (x+4) Opposite of number in divisor
A Couple of Notes Use synthetic division when the coefficient in front of x is 1 (x- 2) (2x-3) YES NO To test so see if a binomial is a factor, you want to see if you get a remainder of zero. If yes, it is a factor. If you get a remainder, the answer is no.
(2x² -19x + 8) / (x-8) 2x² - 19x + 8x - 8 From this example, x-8 IS a factor because the remainder is zero
In this case, x-3 is not a factor because there was a remainder of 6 x² + 3x - 12x - 3 x x² - 3x-() 6x-12 + 6 6x - 18 - () 6 R 6