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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
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