Polynomial in Python

Just a class for polynomial in one variable.

Supports addition, subtraction, exponential and multiplication.

Examples:

• Initializing a polynomial

  p = Polynomial([1, 3, -4, 2])
  print(p) # x^3 + 3x^2 - 4x + 2

• Add/Subtract Polynomials

  p1 = Polynomial([1, 2])   # x + 2
  p2 = Polynomial([3, 4])   # 3x + 4
  print(p1 + p2)            # 4x + 6

• Scalar Multiplication

  p1 = Polynomial([2, 3])       # (2x + 3)
  p2 = -4 * p1                  # (-4)(2x +3)
  print(p2)                     # -8x - 12

• Multiplying Polynomials

  p1 = Polynomial([2, 3])       # (2x + 3)
  p2 = Polynomial([3, 5])       # (3x + 5)
  p3 = p1 * p2                  # (2x +3)(3x + 5)
  print(p3)                     # 6x^2 + 19x + 15

• Exponentiating a polynomial

  p = Polynomial([1, 1])       # (x + 1)
  print(p ** 2)                # x^2 + 2x + 1

• Get expression value at point

  p = Polynomial([3, -2, 1])
  print(f"({p}) at (x = 3) is {p.value(3)}") 
  # (3x^2 - 2x + 1) at (x = 3) is 22

• Customized expression output

  p = Polynomial([5, 3, 2], var="m")
  print(p) # 5m^2 + 3m + 2

• Prime Generating Polynomial (Requires SymPy)