In MATLAB can you write these three codes.

A method that overloads ?. Suppose P1 and P2 are objects of class MyPolynomial and c is a numeric scalar. This method should support the following operations: P1*c, c*P1, P1*P2. The multiplications here follows the regular polynomial multiplications. For example, (x 2 + 2x + 3) ? 2 = 2x 2 + 4x + 6 and (x 2 + 2x + 3) ? (x + 1) = x 3 + 3x 2 + 5x + 3. You may use the builtin conv to compute the product of two polynomials.

function ob j=mtimes ( ob j1 , ob j 2 )

%At l e a s t one o f o b j 1 and o b j 2 i s an o b j e c t o f

% MyPolynomial , t h e o t h e r one can be e i t h e r a numer ic

% s c a l a r or an o b j e c t o f MyPolynomial .

vii. A method that overloads /. Suppose P is an object of MyPolynomial and c is a numeric scalar. Your function should support P/c following the regular rule.

function ob j=m rdivide ( ob j1 , c )

%o b j 1 i s an o b j e c t o f MyPolynomial and c i s a numer ic

% s c a l a r .

viii. A method that overloads ^. Suppose P is an object of MyPolynomial, and m is a positive integer, your function should support P^m. For example, if P is a polynomial 2x + 1, then P^3 should be (2x + 1)3 = 8x 3 + 12x 2 + 6x + 1.

function ob j=mpower ( ob j1 ,m)

%o b j 1 i s an o b j e c t o f MyPolynomial and m i s a p o s i t i v e

% i n t e g e r .