## Polynomial division

The program calculates the product and the quotient of two polynomials

*p _{1}(x) = a_{9}·x^{9} + a_{8}·x^{8} + ... + a_{0}*
and

*p*.

_{2}(x) = b_{9}·x^{9}+ b_{8}·x^{8}+ ... + b_{0}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·x^{4}- 2 x + 1 2nd polynomial: 2·x + 5 Product: 6·x^{5}+ 15·x^{4}- 4·x^{2}- 8·x + 5 Quotient: 3/2·x^{3}- 15/4·x^{2}+ 75/8·x - 391/16 Rest: 1971/16

Coefficients as decimal numbers:

1st polynomial: 3·x^{4}- 2·x + 1 2nd polynomial: 2·x + 5 Product: 6·x^{5}+ 15·x^{4}- 4·x^{2}- 8·x + 5 Quotient: 1.5·x^{3}- 3.75·x^{2}+ 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.