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.
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
für x → ∞
für x → -2,5.