Question
Write a class Poly.java to represent polynomials (ie, functions of the form axn+bxn-1+ +cx2+ dx + e). Implement the following methods: Poly(int[] coefficient): Constructor for
Write a class Poly.java to represent polynomials (ie, functions of the form axn+bxn-1+ +cx2+
dx + e). Implement the following methods:
Poly(int[] coefficient): Constructor for an array of coefficient where c[n] is the coefficient of
xn. In other words, the polynomial 2x5 + 3x4 - 8x2 + 4 would be represented by the array
[4; 0;-8; 0; 3; 2]. This way, if I want to know the coefficient of x2, I look at c[2], and get
-8. This convenience is worth the confusion that arises because we usually write arrays left-
to-right starting from the smallest index, whereas we usually write polynomials left-to-right
starting from the largest coefficient.
int degree(): Return the power of the highest non-zero term
String toString(): Overriding the Object class's toString method, this should return a String
representation of the polynomial using x as the variable, arranged in decreasing order of
exponent and printing nothing for terms with a coefficient of zero. For example, the Poly
represented by the array [4; 0;-8; 0; 3; 2] should return the string:
2x^5+3x^4-8x^2+4
Poly add(Poly a): To add two polynomials, simply add together each scale degree in turn.
Thus, (2x5 + 3x4 - 8x2 + 4) + (x3 + 4x2 - 2x) = (2x5 + 3x4 + x3 - 4x2 - 2x + 4). Create
method that constructs and returns a new Poly object with a new coecient array created
by adding the coecients of the current object and the Poly object a passed as an argument
to the add() function.
double evaluate(double x): Return the value of the function at the point x. In other words, if
the Poly object represents 2x5 +3x4 -8x2 +4 and evaluate(2.0) is called, the method should
calculate 2(2)5 + 3(2)4 - 8(2)2 + 4 and return 84.
Within the main() method of the Poly class, create a series of tests which exercise each of these
methods and report their success or failure.
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