Since the divisor is in the form (x + #) or (x - #), This can be done by synthetic division. First put the polynomial ion descending order: x^2 - 7x + 15 Take the coefficients of the terms and follow these steps:
3 | 1 -7 15 3 -12 ___________ Bring down the 1, multiply the 3 by the 1 and place under the 1 -4 3 -7, then add. Multiply 3 by -4, place under the 15, then add. The bottom row is our answer. Since the problem started with a second power, the answer will start with a first power. The bottom row are the coefficients of the terms and the last number is the remainder. x - 4 remainder 3 ALSO WRITTEN x - 4 + 3/(x -3)