Question

Please answer this in python 3, thank you.

For this lab, you must define a class called Polynomial. This class definition must include the following methods: ._init_0- the initialiser for the class ._str_0- returns a formatted string representation of a Polynomial object add_term) - adds a new term (coefficient and exponent) to the Polynomial .addo-modifies the existing Polynomial by adding another one to it ._add_0-returns a new Polynomial object that is the sum of two polynomials scale) - scales a Polynomial object by multiplying each coefficient by a factor evaluate0 - evaluates a Polynomial object for a given x-value .get_degree0-returns the degree of the Polynomial object collapse) reduces the Polynomial object to a single term Background A polynomial is a mathematical expression that is the sum of a series of terms that each consist of a variable (we will use x) which is taken to a given power and multiplied by a given coefficient. For example, the following are two different polynomials 2x4 +x2- 7x +13 x3-5x21 For this lab you will be defining a class called Polynomial that can be used to represent polynomials in our programs. When a Polynomial object is first created it contains no terms, and thus has the corresponding value 0. You can add terms to a Polynomial object by calling the add_termO method. Each term consists of a coefficient (which should be non-zero) and an exponent. Each exercise in the lab will build progressively on the previous exercise to show how a class is developed The_add method This method is called automatically by Python whenever the method call that is made is operator is used on a Polynomial object. Strictly speaking, when the expression "a + b appears, the actual a .-add--(b) This method should add the two Polynomial objects together and return a new Polynomial object representing their sum. Note that in this case, neither of the original polynomials should be modified. Adding two polynomials is just a matter of combining all of the terms from each polynomial, and adding the coefficients of any terms that have the same exponent. For example, executing the code p1 -Polynomial() p1.add_term(10, 2) p1.add_term(-5, ) p2 Polynomial() p2.add term(5,-1) p3 p1 + p2 print( p1p1) print ('p2p2) print('p3 -,p3) would produce the output p1 = 10x^2-5 Implement the addmethod and submit the entire Polynomial class For example Test Result p1-Polynomial) 2x4 p1.add_term(2, 4) 2x 4 print(pl) p2 p1 + p1 print(pl) print(p2) 4x 4

Answer 1

Please find the code below:::

polynomialExpressionPrint A1 class Polynomial: 2e def _init_(self): self.p1 0 4 def _str__(self) if self.p1-0: 6 7 return "0" returnMe"" first -True for key in sorted (self.p1,reverse True): 10 power - key printMe-self.p1[key ] if(printMe-0) 12 13 14 15 16 17 18 19 20 21 continue elif printMe--1: if not first: returnMe ++ elif printMe<0: returnMe +- returnMe +str(-1*printMe) if not first: returnMe +str(1*printMe) else: returnMe ++ 23 24 25 26 27 28 29 30 31 32 if power-1: elif power: else: first False returnMe+-"X" returne+="" returnMe+_ "X^ "+str (power) return returnMe 34 def add term(self,a,b): 35 36 37 38 39 def evaluate(self,i): 40 if self.p10 self.p1- self.p1[b] a result0 for key in (self.p1): 42 43 result self.p1[key] *pow(i,key) return result

polynomialExpressionPrint A33 return returnMe 34 def add term(self,a,b): 35 36 37 38 39 def evaluate(self,i): 40 if self.p10: self.pl - ) self.p1[b] a result - 0 for key in (self.p1): 42 43 result +-self.p1 [ key]*pow(i,key) return result 45 def scale(self,i): 46 47 48 49 def add__(self,p): 50 51 52 53 54 for key in (self.p1): self.pl/key]-self.p1(key]*і copyP Polynomial() for key in (self.p1): copyP.add_term(self.p1[key], key) if key in copyP.p1: else: for key in (p.p1): copyP.p1[key] -copyP.p1[key] p.p1[key] 56 57 58 59 def main() 60 61 62 63 64 65 copyP.p1[key] -p.p1[key] return copyP p1-Polynomial() p1.add_term (10,2) p1.add term(-5,0) p2-Polynomial() p2.add term(5, -1) p2.add term(-10,2) p3p1+p2 print( "p1 = ", p1) print("p2",p2) print("p3p3) 67 68 69 70 71 72 73 74 75 main

class Polynomial:
def __init__(self):
self.p1 = 0
def __str__(self):
if self.p1==0:
return "0"
returnMe = ""
first = True
for key in sorted(self.p1,reverse=True):
power = key
printMe = self.p1[key]
if(printMe==0):
continue
elif printMe==1:
if not first:
returnMe +=" + "
elif printMe<0:
returnMe +=" - "
returnMe +=str(-1*printMe)
else:
if not first:
returnMe +=" + "
returnMe +=str(1*printMe)
  
  
if power==1:
returnMe+="X"
elif power==0:
returnMe+=""
else:
returnMe+="X^"+str(power)
first = False
return returnMe
def add_term(self,a,b):
if self.p1 ==0:
self.p1 = {}
self.p1[b] = a
  
def evaluate(self,i):
result = 0
for key in (self.p1):
result += self.p1[key]*pow(i,key)
return result
  
def scale(self,i):
for key in (self.p1):
self.p1[key] = self.p1[key]*i
  
def __add__(self,p):
copyP = Polynomial()
for key in (self.p1):
copyP.add_term(self.p1[key],key)
for key in (p.p1):
if key in copyP.p1:
copyP.p1[key] = copyP.p1[key] + p.p1[key]
else:
copyP.p1[key] = p.p1[key]
return copyP
def main():
p1 = Polynomial()
p1.add_term(10,2)
p1.add_term(-5,0)
p2 = Polynomial()
p2.add_term(5,-1)
p2.add_term(-10,2)
p3 = p1+p2
print("p1 = ",p1)
print("p2 = ",p2)
print("p3 = ",p3)
  
  
  
  
  
main()

Console 3 1 = 10x^2-5 p2 = -10x^2 + 5x^-1