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 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
for x → ∞
for x → -2.5.