How do you print a polynomial in python?
Python has really powerful iteration that will help you out here. Show For starters, don't pass the
This won't completely help you, though, since the index of the iteration is needed for the power.
This presents another problem, however. The powers are backwards. For this, you want
From here you just need to handle your output: View Discussion Improve Article Save Article View Discussion Improve Article Save Article The following article contains programs to compute a polynomial equation given that the coefficients of the polynomial are stored in a List. Examples: # Evaluate value of 2x3 - 6x2 + 2x - 1 for x = 3 Input: poly[] = {2, -6, 2, -1}, x = 3 Output: 5 # Evaluate value of 2x3 + 3x + 1 for x = 2 Input: poly[] = {2, 0, 3, 1}, x = 2 Output: 23 # Evaluate value of 2x + 5 for x = 5 Input: poly[] = {2, 5}, x = 5 Output: 15 The equation will be of type: We will be provided with the value of variable and we have to compute the value of the polynomial at that point. To do so we have two approaches. Approach
Naive method: In this approach, the following methodology will be followed. This is the most naive approach to do such questions.
Example: Python3
Output: 5 Time Complexity: O(n2) Optimized method: Horner’s method can be used to evaluate polynomial in O(n) time. To understand the method, let us consider the example of 2x3 – 6x2 + 2x – 1. The polynomial can be evaluated as ((2x – 6)x + 2)x – 1. The idea is to initialize result as the coefficient of xn which is 2 in this case, repeatedly multiply the result with x and add the next coefficient to result. Finally, return the result. Python3
Output: Value of polynomial is: 5 Time Complexity: O(n) How do you express a polynomial in Python?Write a Python function eval_polynomial(p, x) that returns the value of P(x) , where P is the polynomial represented by the list of its coefficients p . For example, eval_polynomial([1, 0, 3], 2) should return 1*2^2 + 0*2 + 3 = 7. Use a single while loop.
How do you add polynomials in Python?To add polynomials, you group together like-exponents and sum their coefficients. (In fact, if you were to stick with the Counter representation throughout, you could just return p + q ).
How do you create a polynomial in Numpy?polynomial package, introduced in NumPy 1.4.
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