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Polynomial math

The calculator evaluates a polynomial expression. The expression contains polynomials and operations +,-,/,*, mod- division remainder, gcd - greatest common divisior, egcda, egcdb, lc, deg, pp, content, monic functions.

The calculator below solves an univariate polynomial math expression. It supports polynomial addition, subtraction, multiplication, division, exponentiation, modulo, greatest common divisor, and other operations (have a look at operation list just below the calculator). You may turn on 'Show details' switch to get step by step solution.

PLANETCALC, Polynomial arithmetic

Polynomial arithmetic

Problem
 
Result
 
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Polynomial input formats

The calculator expects input polynomials in any combinations of two formats:

  • as a coefficient vector (highest-degree coefficient first) e.g. [1 2 3 4 5]+[6 7 8 9]
  • as a formula e.g. (x^4+2x^3+3x^2+4x+5)/(6x^3+7x^2+8x+9)

Polynomial operations

+ - polynomial addition
- - polynomial subtraction
/ - polynomial division
*- polynomial multiplication
^ - exponentiation to integer degree
() - expression grouping
content(u) - polynomial content (mutual gcd of polynomial coefficients)
deg(u) - polynomial degree
egcda(u;v) - a polynomail of Bézout's identity( au+bv=g )
egcdb(u;v) - b polynomail of Bézout's identity
gcd(u;v) - polynomial greatest common divisor
lc(u) - polynomial leading coefficient
mod(u;v) - polynomial division remainder (modulo)
monic(u) - monic polynomial
pp(u) - primitive part of polynomial

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Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Polynomial math

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