1. A class Linear is defined as follows. class Linear {

pr ivate :

double a0 ;

double a1 ;

pub l ic :

Linear (double , double) ;

double substitute (double) ;

void display () ;

} ;

Linear represents a linear expression in the form of

a0x + a1. (1)

In other words, a0 and a1 are a0 and a1 respectively in the class definition. The function substitute

computes and returns the value of (1) when x is substituted by the input argument of substitute.

The display function displays the expression (1) in the form of

a0 + a1*x

Write

(a) the two-argument constructor,

(b) the member function substitute and

(c) the member function display

of Linear.

Then derive Quadratic from Linear to handle quadratic expression objects in the form of

a0 + a1x + a2x

(2)

Include a2 of type double as the private member of Quadratic. Provide a three-argument constructor

for Quadratic. Override the member functions substitute and display. The substitute function

in Quadratic evaluates and returns (2) by substituting the value passed into the equation. The display

function of Quadratic prints the quadratic expression in the form of

a0 + a1*x + a2*x^2

Utilize the functions in Linear whenever possible. Explain how a product between two linear expressions can be computed in your program. In which class should the calculation be done?