 mersenneforum.org polynomial formula
 Register FAQ Search Today's Posts Mark Forums Read 2021-09-09, 06:18 #1 MattcAnderson   "Matthew Anderson" Dec 2010 Oregon, USA 2·5·7·13 Posts polynomial formula Hi all, Linear equations can be written as y=m*x+b. This can be graphed as a straight line on an x y axis. Quadratic equations graph as parabolas. The general form of a quadratic (or second order polynomial) is y = a*x^2+b*x+c If we set this y = 0 and find roots, we have our standard quadratic formula. x = (-b +/- sqrt(b^2 - 4*a*c))/(2*a) For the cubic polynomial, see some nice work of Kevin Wortman at The University of Utah. www.math.utah.edu/~wortman/1060text-tcf.pdf There is a 4th order polynomial formula using only addition, subtraction, multiplication, divistion, and nth roots of unity. For general 5th order polynomials and higher, there is no formula using only addition, subtraction, multiplication, division, and roots of unity. Special functions are required. Regards, Matt  Thread Tools Show Printable Version Email this Page Similar Threads Thread Thread Starter Forum Replies Last Post Godzilla Miscellaneous Math 5 2019-03-12 09:34 MathDoggy Miscellaneous Math 13 2019-03-03 17:11 Godzilla Miscellaneous Math 10 2018-12-15 13:16 carpetpool Miscellaneous Math 14 2017-02-18 19:46 hoca Math 7 2007-03-05 17:41

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