Question

With polynomial long division, why are the un-applied divisor terms still multiplied and subtracted?

score 165 · Answer 1 · 2023-09-03 18:30:42

165

Views

With polynomial long division, why are the un-applied divisor terms still multiplied and subtracted?

Published on 03 Sep 2023 - 18:30

score 97 · Answer 2 · 2023-09-04 17:04:31

97

Views

Find $\mathcal{O}(x)$ of $\frac{x^2+x^3+x^4}{(x+x^2+x^3)^{3/2}}$

Published on 04 Sep 2023 - 17:04

score 40 · Answer 3 · 2026-03-29 17:31:42

40

Views

Periodic Points in Julia Set under Rational Map

Published on 29 Mar 2026 - 17:31

score 154 · Answer 4 · 2023-09-22 06:08:33

154

Views

Can a rational function have infinitely many vertical asymptotes?

Published on 22 Sep 2023 - 6:08

score 36 · Answer 5 · 2026-03-26 19:37:28

36

Views

Evaluation of a rational function vs formal power series

Published on 26 Mar 2026 - 19:37

score 52 · Answer 6 · 2026-03-26 16:04:01

52

Views

Computing ratio of two sums

Published on 26 Mar 2026 - 16:04

score 123 · Answer 7 · 2026-02-23 13:33:58

123

Views

Finding implicit form of Nyquist curve without using a general algorithm for Groebner bases.

Published on 23 Feb 2026 - 13:33

score 40 · Answer 8 · 2023-10-05 05:50:29

40

Views

Equivalent Rational functions over finite fields

Published on 05 Oct 2023 - 5:50

score 83 · Answer 9 · 2023-10-10 14:18:23

83

Views

Is it correct to say the reciprocal of a function is $1$ over that function, and the inverse is the function reflected over the line $y = x$?

Published on 10 Oct 2023 - 14:18

score 48 · Answer 10 · 2023-10-10 16:36:39

48

Views

Result of Infinite Sum of Rational Functions

Published on 10 Oct 2023 - 16:36

score 36 · Answer 11 · 2023-10-11 12:44:05

36

Views

Invariant function of polynomial / rational function

Published on 11 Oct 2023 - 12:44

score 38 · Answer 12 · 2026-03-25 17:26:19

38

Views

Extremas of rational functions

Published on 25 Mar 2026 - 17:26

score 47 · Answer 13 · 2023-10-18 14:22:33

47

Views

prove there doesn't exist a nonconstant rational function f with real coefficients so that $f(x^2/(x+1))$ is a real polynomial

Published on 18 Oct 2023 - 14:22

score 39 · Answer 14 · 2023-10-18 17:33:55

39

Views

Simplification of Power Function with Rational Exponent

Published on 18 Oct 2023 - 17:33

score 51 · Answer 15 · 2023-10-26 16:29:23

51

Views

Maximum of $\frac{xy^2z}{x^4 - y^4 + z^4}$ with positive variables

Published on 26 Oct 2023 - 16:29

List Question

With polynomial long division, why are the un-applied divisor terms still multiplied and subtracted?

Find $\mathcal{O}(x)$ of $\frac{x^2+x^3+x^4}{(x+x^2+x^3)^{3/2}}$

Periodic Points in Julia Set under Rational Map

Can a rational function have infinitely many vertical asymptotes?

Evaluation of a rational function vs formal power series

Computing ratio of two sums

Finding implicit form of Nyquist curve without using a general algorithm for Groebner bases.

Equivalent Rational functions over finite fields

Is it correct to say the reciprocal of a function is $1$ over that function, and the inverse is the function reflected over the line $y = x$?

Result of Infinite Sum of Rational Functions

Invariant function of polynomial / rational function

Extremas of rational functions

prove there doesn't exist a nonconstant rational function f with real coefficients so that $f(x^2/(x+1))$ is a real polynomial

Simplification of Power Function with Rational Exponent

Maximum of $\frac{xy^2z}{x^4 - y^4 + z^4}$ with positive variables

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