Polynomial Euclidian Division

This calculator computes the euclidean division of two Polynomials over the rational numbers : P1 = Q * P2 + R (Q is the quotient and R the remainder).

Answer

Input
Variable = `x`
`P_1 = x^5-2x^4+x^2-x-2`
`P_2 = x^3-x^2-x-2`

Result
Quotient : `Q = x^2 - x`
Remainder : `R = 2*x^2 - 3*x - 2`
`P_1 = Q*P_2+R` Do you have any suggestions to improve this page ?


How to use this calculator?

Variable Input a single-letter that is the polynomial variable. Examples :
polynomial = 4x+1 , then input variable = 'x'
polynomial = 9t + 5 , then input variable ='t'
Polynomial Are accepted :
  • The Polynomial variable
  • Polynomial coefficients : must be rational numbers e.g. integer numbers (-4) or fractions (1/4) or decimals (3.6).
  • Operators : + - * / ^ (the last is the power operator so x^2 = `x^2`)
  • Parentheses : an example of use is (x^2+1)(x-5)
Examples Polynomial = x^2-4x+1 (variable = 'x')
Polynomial = (x^2-1)(x-5)-3 (variable = 'x')
Polynomial = x^3-4/3*x^2+1 (variable = 'x')
Polynomial = 0.23*t^2-1/5*t+1/2 (variable = 't')

See also

Polynomial calculators
Math Calculators