Polynomial math

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

Polynomial arithmetic

(72x^6+12x^3+4x^2+x-123)/(12x^2-7)^2+4x^4-2x^3-7

Polynomial expression

Show details

Calculate

Calculation precision

Exact

Rounded

Digits after the decimal point: 2

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( )
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