Divide one polynomial by another using synthetic or long division, showing quotient and remainder.
Polynomial long division works like numeric long division. At each step, divide the leading term of the current dividend by the leading term of the divisor to get the next quotient term, multiply the entire divisor by that term, and subtract from the dividend. Repeat until the remaining degree is less than the divisor's degree.
Division algorithm
P(x) = Q(x)·D(x) + R(x), deg(R) < deg(D)
Enter coefficients from highest degree to lowest, separated by commas. For x³−6x²+11x−6, enter '1,-6,11,-6'. Include zeros for missing powers.
Synthetic division is a shortcut for dividing by a linear factor (x−c). This calculator uses long division which works for any divisor degree.