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 to choose whether the coefficients of the polynomials should be output as fractions or as decimal numbers.

  Coefficients as fractions:

 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

  Coefficients 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: 1.5·x3 - 3.75·x2 + 9.375·x - 24.4375
           Rest: 123.1875

Sample task:

Application:

The fractional-rational function has the approximate functions

    for x → ∞

    for x → -2.5.

See also:

Wikipedia: Polynomial Division