MagicMath: Polynomial Division

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Polynomial Division

If the degree of A(x) is greater than or equal to the degree of B(x), then we can divide A(x) by B(x) (the divisor) and get

A(x) / B(x) = Q(x) * B(x) + R(x)

where Q(x) is the quotient and R(x) the remainder.

For example,

(x^4 + x + 2) / (x^2 + 3) = (x^2 -3)*(x^2+3) + (x + 11)

The remainder has a degree less than the divisor.

Enter A(x) and B(x) to get the the quotient Q(x) and the remainder R(x).

; / )
If the leading coefficient of the divisor B(x) is not 1, the quotient and the remainder may involve fractional coefficients.

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