root-finder

Return to the Math APIs page.

General:

After ...herokuapp.com above you should first type either /api/ or / if you want the output in json or html respectively. You should then type your polynomial according to one of the two formats below: "array" or "string".
Spaces are allowed - but discouraged - in whichever format you use, because %20 will replace each space after you hit return, thereby making the address uglier.
The results will contain "validity checks", along with the roots themselves.

Formats:

array:
- This is a comma-separated list of coefficients, enclosed by square brackets. List the coefficients in order of increasing exponent, ie starting with the "constant" term.
- Example: 1 + 5x - 4x³ would be represented by the following array: [1,5,0,-4].
string:
- Each of the polynomial's coefficients may be represented as an integer or decimal but not as fraction, because a slash has special meaning in a URL. Do not include a comma in any number (even if exceeding 1000), because that will confuse the parser.
- Your variable must be a string which starts with a letter (upper- or lowercase) or underscore. If your variable has multiple characters, they may only be letters, underscores, or digits.
- Represent the product of a coefficient and a variable in the usual sequence: coefficient before variable, and represent the multiplication operation either by * or in an implied manner (ie with nothing separating the coefficient and the variable).
- Represent x² either as x**2 (preferably) or x^2 (OK) but not as x*x. Do likewise for larger powers.
- You need not represent the absolute value of a coefficient if it equals 1. For instance you may type x instead of 1x or 1*x, or -x instead of -1x or -1*x.
- You need not type the polynomial's terms in any particular order (such as largest power first or last).
- You need not include any terms in the polynomial for which the coefficient is zero. For instance you may type 4x**2-9 instead of 4x**2+0x-9.