Taking elements in solve and multiplying to a polynomial
So I want a function that solves a system of two equations and the move those numerical results to polynomials f and g.
def PolynomialCoefficient(fcn1, fcn2):
var ('a b')
eqn1 = 2*a + 2*b == 0
eqn2 = 3*a - b == 1
List = solve([eqn1, eqn2], a, b)
Now I want to move this to a*f(x)+b*g(x)
without hitting solve each time
and manually typing what a
and b
are. For example,
PolynomialCoefficient(x, y)
should output 1/4 x - 1/4 y
.
The issue is len(List)
outputs 1. If it was length 2 with a
in first slot
and b
in 2nd slot, I could do
Poly = List[0]*fcn1 + List[1]*fcn2
return Poly
Any ideas on how to move a
and b
?