| def syntheticDivision(coefficients, divisor): | |
| """Returns quotient and remainder polynomial coefficients, given integer coefficients of polynomial | |
| Arguments: | |
| coefficients {list} -- list of integer coefficients of poly | |
| divisor {int} -- divisor | |
| Returns: | |
| quotient {list} -- list of integer coefficients of quotient poly | |
| remainder {int} -- remainder | |
| Example: | |
| coefficients <-- [1, 2, 3] => (x^2 + 2x + 3) | |
| divisor <-- -1 => (x + 1) | |
| quotient --> [1, 1] => (x + 1) | |
| remainder --> 2 | |
| """ | |
| quotient = [float(coefficients[0])] | |
| for i in range(len(coefficients) - 1): | |
| quotient.append(quotient[-1] * divisor + coefficients[i + 1]) | |
| remainder = quotient.pop() | |
| return quotient, remainder | |