Experimental WME Services

Experimental WME Service

The polynomial.wme is a CGI-based WME service. It receives form input and produces result in <meml>...</meml>.

The response is currently delivered under the type

application/mesp+xml

And your browser will ask you to store the result in a file.

We are considering exactly what media type designation to use eventually, candidates are application/xml, text/xml, text/meml, application/meml+xml (likely), ...

At present (June. 2003), it serves as a tool for experimentation in the MESP (Mathematics Education Service Protocol).

Polynomial Simplification

You can enter polynomials to be simplfied. Parentheses will be eliminated and terms collected. If you have factored a polynomial, you can multiply the factors out to see if the result is the polynomial you have factored.

Enter a polynomial to be simplified in infix form. For example,

             (x^2 + 1) * (7*X - 1) + 17

             (x + y) * (x - y)

Note * (shift-8) is for multiplication and ^ (shift-6) is for powering.

Polynomial Division

If the degree of the polynomial A(x) is greater than or equal to the degree of the polynomial B(x), then we can divide A(x) by B(x) (the divisor) and get

         A(x) / B(x) = Q(x) * B(x) + R(x)

where Q(x) is the quotient and R(x) the remainder.

For example,

          (x^4 + x + 2) / (x^2 + 3) = (x^2 -3)*(x^2+3) + (x + 11)

The remainder has a degree less than the divisor.

Enter A(x) and B(x) to get the the quotient Q(x) and the remainder R(x).

/
If the leading coefficient of the divisor B(x) is not 1, the quotient and the remainder may involve fractional coefficients.




				Experimental WME Service The `polynomial.wme` is a CGI-based WME service. It receives form input and produces result in <meml>...</meml>. The response is currently delivered under the type `application/mesp+xml` And your browser will ask you to store the result in a file. We are considering exactly what media type designation to use eventually, candidates are application/xml, text/xml, text/meml, application/meml+xml (likely), ... At present (June. 2003), it serves as a tool for experimentation in the MESP (Mathematics Education Service Protocol). Polynomial Simplification You can enter polynomials to be simplfied. Parentheses will be eliminated and terms collected. If you have factored a polynomial, you can multiply the factors out to see if the result is the polynomial you have factored. Enter a polynomial to be simplified in infix form. For example, *(x^2 + 1) (7X - 1) + 17* or *(x + y) (x - y)** Note `` (shift-8) is for multiplication and `^` (shift-6) is for powering. Polynomial Division If the degree of the polynomial `A(x)` is greater than or equal to the degree of the polynomial `B(x)`, then we can divide `A(x)` by `B(x)` (the divisor) and get `A(x) / B(x) = Q(x) B(x) + R(x)` where `Q(x)` is the quotient and `R(x)` the remainder. For example, `(x^4 + x + 2) / (x^2 + 3) = (x^2 -3)(x^2+3) + (x + 11)` The remainder has a degree less than the divisor. Enter `A(x)`* and `B(x)` to get the the quotient `Q(x)` and the remainder `R(x)`. / If the leading coefficient of the divisor `B(x)` is not 1, the quotient and the remainder may involve fractional coefficients.