What is the Java interface and how do I code it? An example of such a polynomial is f(x)=3x- 5x+ 2x – 4. This polynomial has four terms.The degree of a polynomial is defined as the highest power of the variable in a term. In the aboveexample, the degree of the polynomial is 4. The polynomials we deal with have only positive, integralpowers. The coefficients of our polynomials are also integral numbers.Two polynomials are the same if they contain the same terms.Several algebraic operations are possible with polynomials. The simplest one is evaluating thepolynomial for a specific value of the variable. For example, for a polynomial f(x)=3x- 5x+ 2x – 4,its value at x=2.5 is defined as: £(2.5) = 3 * (2.5)- 5 * (2.5)+ 2 * (2.5) – 4 which is 40.0625.Polynomials can be added together to create a new polynomial. The addition is performed bycombining all the terms and adding the coefficients of the terms with the same power. Forexample 3x- 5x+ 2x – 4 + 2x + 2x + 4 = 3x – 3x+ 2x+ 2x.The degree of the sum is the maximum of the degrees of the two polynomials.2mWbat to doDesign an interface Polynomial that defines the above operations. This is your polynomial abstractdata type and specifies the contract Polynomial (s) will adhere to. Specifically this interfaceshould have the following method signatures:A method addTerm that takes a coefficient and a power (both integral numbers) and adds theresulting term to the polynomial. (This will enable you to build a polynomial term-by-term.) Itshould throw an T1legalaraumentExsertioa if a negative power is passed to it.A method remove Term that takes a power and removes any and all terms in the polynomial withthat power.A method getRearse that returns the degree of this polynomial.A method getCoefficient that takes a power and returns the coefficient for the term with thatpower.A method evaluate that takes a double-precision decimal number and returns a double-precision result.A method add that takes another Polynomial object and returns the polynomial obtained byadding the two polynomials. Any implementation should ensure that this method does notmutate either polynomial. The implementation may assume that the given Polynomial is the of thesame concrete class as this object; if it is a different class, the method may throwNow implement this interface in a class BolyAAuialuel. Beyond implementingthe Polynomial interface, this implementation should have the following features/obey theseconstraints:This class should store the polynomial using theAa linked list with nodes. This representationmust be implemented by you (i.e. you are not allowed to use existing List classes in Java).

Name: What is the Java interface and how do I code it? An example of such a
Uploaded: 2024-03-20T06:51:23.000Z
Channel: Bartleby
Description: What is the Java interface and how do I code it? An example of such a polynomial is f(x)=3x- 5x+ 2x – 4. This polynomial has four terms.The degree of a polynomial is defined as the highest power of the variable in a term. In the aboveexample, the deg