Question: Horner's method is an algorithm for calculating polynomials. It performs its calculation by evaluating all the terms in the polynomial expression one by one For

 Horner's method is an algorithm for calculating polynomials. It performs its

Horner's method is an algorithm for calculating polynomials. It performs its calculation by evaluating all the terms in the polynomial expression one by one For example, Take the expression: 3x*2 + 2x + 1. Given x - 2 Horner s method will interpret as: (3*x + 2) * x + 1 OR 1+x*(2+x" (3)) #Think, which one is easier to use Horner s will output: 17 Another Example, Let's take 4x3 +3x2 +2x+1where degree 3 as an example. The function call will be horner([4,3,2,1], 3, x), where x can be any value Horner's method will calculate this expression in the following way: 1x (2+x (3+x 4))) (Hint: You will find that the result can be calculated using a single skeleton function: constant+x (previous result)) Write a recursive version of Horner's Method that outputs the total value of a polynomial def horner (coeff, degree, x): Calculates the result of polynomial expression using recursion p (x) a0 + x (alx (a2 + + x(a (n-l) + a n *x))) where n is the degree of the polynomial expression coeff - a list of coefficients [a _n, a (n-1), ..., a2, al, a0] degree - the degree of the polynomial expressiorn >>> horner([1, 2, 3], 2, 3) 18 >>> 2018 >>>horner ([5, 4, 3, 2, 1], 4, 6) 7465 horner([20, 18], 1, 100)

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