long division

Dividing one polynomial by another the same way you divide numbers by hand.

Long division of polynomials divides $f(x)$ by a divisor $d(x)$ the same way whole-number long division works: divide the leading terms, multiply back, subtract, bring down, repeat — until the remainder's degree is less than $d(x)$ 's. Result: $f(x) = d(x) \cdot q(x) + r(x)$ .

Examples

Dividing $x^3 - 2x^2 - 5x + 6$ by $x - 3$ gives quotient $x^2 + x - 2$ with remainder $0$ .