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I want to take an array of coefficients and turn that into a function, a math function not a python function. for example take

[2, 0, 2, 7]

and turn this into

$$f(x) = 2x^3 + 2x + 7$$

something like

def createSym(coefficients, degree, x):
    symbolicEqn = ''
    for i in poly:
        symbolicEqn += ' + (x**deg)*i'
        deg -= 1
    return symbolicEqn
    pass

then call my definition in the script like

x = var('x')
coeffArray =  [2, 0, 2, 7]
degree = 3
polynomialEqn = createSym(coeffArray, degree, x)

But symbolicEqn is just a string and not an expression. Is there a sage/python way to do this?

I want to take an array of coefficients and turn that into a function, a math function not a python function. for example take

[2, 0, 2, 7]

and turn this into

$$f(x) = 2x^3 + 2x + 7$$

something like

def createSym(coefficients, degree, x):
    symbolicEqn = ''
    for i in poly:
        symbolicEqn += ' + (x**deg)*i'
        deg -= 1
    return symbolicEqn
    pass

then call my definition in the script like

x = var('x')
coeffArray =  [2, 0, 2, 7]
degree = 3
polynomialEqn = createSym(coeffArray, degree, x)

But symbolicEqn is just a string and not an expression. Is there a sage/python way to do this?

I want to take an array of coefficients and turn that into a function, a math function not a python function. for example take

[2, 0, 2, 7]

and turn this into

$$f(x) = 2x^3 + 2x + 7$$

something like

def createSym(coefficients, degree, x):
    symbolicEqn = ''
    for i in poly:
        symbolicEqn += ' + (x**deg)*i'
        deg -= 1
    return symbolicEqn
    pass

then call my definition in the script like

x = var('x')
coeffArray =  [2, 0, 2, 7]
degree = 3
polynomialEqn = createSym(coeffArray, degree, x)

But symbolicEqn is just a string and not an expression. Is there a sage/python way to do this?

I want to take an array of coefficients and turn that into a function, a math function not a python function. for example take

[2, 0, 2, 7]

and turn this into

$$f(x) = 2x^3 + 2x + 7$$

something like

def createSym(coefficients, degree, x):
    symbolicEqn = ''
    for i in poly:
        symbolicEqn += ' + (x**deg)*i'
', (x**deg)*i
        deg -= 1
    return symbolicEqn
    pass

then call my definition in the script like

x = var('x')
coeffArray =  [2, 0, 2, 7]
degree = 3
polynomialEqn = createSym(coeffArray, degree, x)

But symbolicEqn is just a string and not an expression. Is there a sage/python way to do this?