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Question Python: The standard form of a quadratic expression is ax^2 + bx + c where a, b and c are real numbers and a

Question Python:

The standard form of a quadratic expression is ax^2 + bx + c where a, b and c are real numbers and a is not equal to zero. The degree of a quadratic expression is 2 and a, b and c are called the coefficients. For example, in the quadratic expression (3x^2 + 8x ? 5), the coefficients a, b, and c are 3, 8 and -5 respectively. Define and use a Python class called Quadratic that can perform operations on quadratic expressions such as addition and subtraction. The Python object that will create this class will be used as shown below: Q1 = Quadratic(3,8,-5) This corresponds to the expression above. Define another Python object Q2 as follows Q2 = Quadratic(2,3,7) which corresponds to the quadratic expression 2x^2 + 3x + 7

Part I Addition and subtraction of quadratic expressions Perform the addition and subtraction operation by using operator overloading. Make the following Python calls: quadsum = Q1+Q2 quaddiff = Q1-Q2 Print the values of quadsum and quaddiff. The output on your screen must be similar to the one below. The sum is 5x^2+11x+2 The difference is x^2+5x-12

Part II Equality operator for quadratic expressions Two quadratic expressions are equal only if all the corresponding coefficients are equal. Define an equality operator that will return True if two quadratic expressions are equal and False when they are not equal. For example, in this code for Q1 == Q1, the value must be True and for Q1 == Q2, the value must be False'.

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