Polynomial division

The program calculates the product and the quotient of two polynomials
p₁(x) = a₉·x⁹ + a₈·x⁸ + ... + a₀     and     p₂(x) = b₉·x⁹ + b₈·x⁸ + ... + b₀ .

The coefficients of the polynomial can be entered as fractions, as mixed numbers or as breaking decimal numbers.

Use the checkbox  Decimal Coeff. ☑  to select whether to output the polynomial coefficients as fractions or as decimal numbers.

 1st polynomial: 3·x4 - 2 x + 1
2nd polynomial: 2·x + 5

  Product: 6·x5 + 15·x4 - 4·x2 - 8·x + 5
 Quotient: 3/2·x3 - 15/4·x2 + 75/8·x - 391/16
	   Rest: 1971/16

 1st polynomial: 3·x4 - 2·x + 1
2nd polynomial: 2·x + 5

  Product: 6·x5 + 15·x4 - 4·x2 - 8·x + 5
 Quotient: 1.5·x3 - 3.75·x2 + 9.375·x - 24.4375
	   Rest: 123.1875

Sample task:

Application:

The fractional-rational function $ \: f(x) = \frac{3x^4-2x+1}{2x+5} \: $ has the approximate functions

$ f_1(x) = 1,5x^3-3,75x^2+9,375x-24,4375 \quad \verb|für | \; x \to \infty $

$ f_2(x) = \frac{123,1875}{2x+5} \quad \verb|für | \; x \to -2,5 $

See also: