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> A computer program to factor any polynomial equation string input to it: Do you mean a program to solve for f(x) = 0 using numerical approximation? Factorizat
by jablongo 4y ago
> A computer program to factor any polynomial equation string input to it:
Do you mean a program to solve for f(x) = 0 using numerical approximation? Factorization has a specific meaning and is not necessarily possible for quintic and higher-degree polynomials / there is no closed form solution like the quadratic formula for n>=5.
- THENATHE 4y agoIf they’re talking about the quadratic equation, this is likely 8th grade to 10th grade in the US education system. Factoring would be y^2 = 3(ab)^2 + c^2, get y all alone so it’s y = _____
- casey2 4y agoYes, polynomial factorization does have a specific meaning. You should learn it. https://en.wikipedia.org/wiki/Factorization_of_polynomials https://en.wikipedia.org/wiki/Factorization_of_polynomials
- deleted 4y ago[deleted]
- deleted 4y ago[deleted]
- ctchocula 4y agoTo clarify, there do exist closed form solutions for quintic functions; they just cannot be expressed using rationals and a limited set of operations of additions, subtractions, multiplications, divisions, and root extractions. However, if you do not limit yourself to those operations, there do exist closed form solutions to quintics. See [1] for a few examples. [1] https://mathworld.wolfram.com/QuinticEquation.html https://mathworld.wolfram.com/QuinticEquation.html