Create a class Polynomial that is used to evaluate a polynomial function of x:P(x) = a0 +...

Create a class Polynomial that is used to evaluate a polynomial function of x:

P(x) = a0 + a1 x + a2 x + … + an-1 xn-1 + an xn

The coefficients a1are floating-point numbers, the exponents ofx are integers, and the largest exponentn—called thedegree of the polynomial—is greaterthan or equal to 0. The class has the attributes

• degree—the value of the largest exponentn

• coefficients—an array of the coefficients a1

and the following methods:

• Polynomial(max)—a constructor that creates a polynomial of degree max whose coefficients are all 0

• setConstant(i, value)—sets the coefficient a1 to value

• evaluate(x)—returns the value of the polynomial for the given value x

For example, the polynomial

P(x) = 3 + 5x + 2x3

is of degree 3 and has coefficients a0 = 3, a1 = 5, a2 = 0, and a3 = 2. The invocation evaluate(7) computes 3 + 5 x 7 + 0 x 7 + 2 x 73, which is 3 + 35 + 0 + 686, and returns the result 724.