poly

The poly tool returns the coefficients of a polynomial with the given sequence of roots.

print numpy.poly([-1, 1, 1, 10])        #Output : [  1 -11   9  11 -10]

roots

The roots tool returns the roots of a polynomial with the given coefficients.

print numpy.roots([1, 0, -1])           #Output : [-1.  1.]

polyint

The polyint tool returns an antiderivative (indefinite integral) of a polynomial.

print numpy.polyint([1, 1, 1])          #Output : [ 0.33333333  0.5         1.          0.        ]

polyder

The polyder tool returns the derivative of the specified order of a polynomial.

print numpy.polyder([1, 1, 1, 1])       #Output : [3 2 1]

polyval

The polyval tool evaluates the polynomial at specific value.

print numpy.polyval([1, -2, 0, 2], 4)   #Output : 34

polyfit

The polyfit tool fits a polynomial of a specified order to a set of data using a least-squares approach.

print numpy.polyfit([0,1,-1, 2, -2], [0,1,1, 4, 4], 2)
#Output : [  1.00000000e+00   0.00000000e+00  -3.97205465e-16]

The functions polyadd, polysub, polymul, and polydiv also handle proper addition, subtraction, multiplication, and division of polynomial coefficients, respectively.

Task

You are given the coefficients of a polynomial .
Your task is to find the value of at point .