Polynomial operations with np.poly in NumPy - Mini Project: Build & Apply

Polynomial Operations with np.poly

📖 Scenario: You are working as a data analyst and need to handle simple polynomial operations. Polynomials are like math expressions with powers of x, such as x2 + 3x + 2. Using Python's numpy library, you will learn how to create and work with polynomials easily.

🎯 Goal: Build a small program that creates two polynomials, adds them, multiplies them, and then prints the results.

📋 What You'll Learn

Create two polynomials using numpy's np.poly1d with exact coefficients

Add the two polynomials

Multiply the two polynomials

Print the resulting polynomials

💡 Why This Matters

🌍 Real World

Polynomials are used in data fitting, physics, and engineering to model curves and trends.

💼 Career

Data scientists often use polynomial models to understand relationships in data and make predictions.

1

Create two polynomials

Create two polynomials called poly1 and poly2 using np.poly1d. Use coefficients [1, 2, 1] for poly1 (which means x² + 2x + 1) and [2, 0, -1] for poly2 (which means 2x² - 1).

NumPy

import numpy as np
# Create poly1 and poly2 with given coefficients
# Your code here

Need a hint?

Use np.poly1d([coefficients]) to create a polynomial. The list starts with the highest power.

2

Add the two polynomials

Create a new variable called poly_sum that adds poly1 and poly2 using the + operator.

NumPy

import numpy as np
poly1 = np.poly1d([1, 2, 1])
poly2 = np.poly1d([2, 0, -1])
# Add poly1 and poly2 to create poly_sum
# Your code here

Need a hint?

You can add two np.poly1d objects directly with +.

3

Multiply the two polynomials

Create a new variable called poly_product that multiplies poly1 and poly2 using the * operator.

NumPy

import numpy as np
poly1 = np.poly1d([1, 2, 1])
poly2 = np.poly1d([2, 0, -1])
poly_sum = poly1 + poly2
# Multiply poly1 and poly2 to create poly_product
# Your code here

Need a hint?

You can multiply two np.poly1d objects directly with *.

4

Print the results

Print poly_sum and poly_product to see the resulting polynomials.

NumPy

import numpy as np
poly1 = np.poly1d([1, 2, 1])
poly2 = np.poly1d([2, 0, -1])
poly_sum = poly1 + poly2
poly_product = poly1 * poly2
# Print poly_sum and poly_product
# Your code here

Need a hint?

Use print() to display the polynomials. They will show in a nice math format.