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

The coefficients a are floating-point numbers, the exponents of x are integers, and the largest exponent n—called the degree of the polynomial—is greater than or equal to 0. The class has the attributes

• degree—the value of the largest exponent n
  coefficients—an array of the coefficients a 

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 a 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 × 7 + 0 × 7 + 2 = 7₃, which is 3 + 35 + 0 + 686, and returns the result 724.

Transcribed Image Text:

P (x) = ao+a¡x +a2x + •** +an – 1X +anx