Why can't I do a simple division with Sage? All I get out is what I put in. I can do this by hand easily but no matter what method or option I try I get the same answer.
In: (3*x^3+x^2-3*x+5)/(x+1)
Out: (3*x^3 + x^2 - 3*x + 5)/(x + 1)
Try using polynomials a polynomial ring.
Then you can define
Define a polynomial ring:
sage: R.<x> = QQ[]
Or just a polynomial ring generator:
sage: x = polygen(QQ)
Define two polynomials:
sage: a = 3*x^3 + x^2 - 3*x + 5
sage: b = x + 1
Divide:
sage: c = a / b
sage: c
3*x^3 + x^2 - 3*x + 5)/(x + 1)
Quotient and remainder
sage: q = a // b
sage: q
3*x^2 - 2*x - 1
sage: r = a % b
sage: r
6
Both at once
sage: q, r = a.quo_rem(b)
sage: q
3*x^2 - 2*x - 1
sage: r
6
Check:
sage: q + r/b
(3*x^3 + x^2 - 3*x + 5)/(x + 1)
Asked: 2020-08-01 05:01:46 +0100
Seen: 282 times
Last updated: Aug 01 '20
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Please indicate what answer you are expecting. Especially since you can do this by hand easily!
Then we might know how to help you attain the same answer with Sage.
Regarding "no matter what method or option I try", please list the methods and options you tried.
Then we can comment on why any particular method or option should have behaved the way it did or any other way. Maybe we can fix some bugs. But we need to see exactly what is going wrong.