Simplify complex algebra with our free Synthetic Division Calculator. This powerful online tool helps you efficiently divide a polynomial by a linear binomial (x - k), providing the quotient polynomial and the remainder with step-by-step clarity. Ideal for students and educators alike.
Formula:
The Synthetic Division method provides an efficient way to divide a polynomial P(x) by a linear factor (x - k).
Given a polynomial: P(x) = anxn + an-1xn-1 + ... + a1x + a0
And a divisor: (x - k)
The calculator uses the coefficients (an, an-1, ..., a0) and the value k to find the quotient Q(x) and the remainder R, such that:
P(x) / (x - k) = Q(x) + R / (x - k)