I need a java program that divides two polynomials. Note that constructors are:

/**

* Creates a polynomial with the formula of "[coefficent]x^[degree]"

* @param degree This is the degree

* @param coefficent This is the coefficient

*/

public Polynomial( int degree, double coefficent )

{

degrees = new int[1];

degrees[0] = degree;

coefficients = new double[1];

coefficients[0] = coefficent;

}

/**

* Creates a 0 polynomial

*/

public Polynomial()

{

coefficients = new double[1];

coefficients[0] = 0;

degrees = new int[1];

degrees[0] = 0;

}

/**

* Creates a polynomial with the coefficients as a given array

* @param coefficients This is the given array for coefficients

*/

public Polynomial( double[] coefficients )

{

this.coefficients = coefficients;

degrees = new int [coefficients.length];

for ( int index = 0; index < degrees.length; index++ )

{

degrees[index] = index;

}

}

div( Polynomial p2 ):

Divides this polynomial with p2 and returns the quotient.

P(x) = 3 + 4x + 1x^2 + 3x^3 + 2x^5

Q(x) = 2 + 1x

For polynomials P(x) and Q(x), the result of the division operation, P(x) / Q(x), is found as follows

: Find the leading term (non zero term with highest degree) of the P(x) and Q(x).

lead(P(x)) = 2x^5

lead(Q(x)) = x

Find polynomial T(x) such that: T(x) = lead(P(x)) / lead(Q(x)) = 2x^4

Subtract T(x) * Q(x) from P(x) and assign the result to P(x).

P(x) Q(x) * T(x) = 3 + 4x + 1x^2 + 3x^3 + -x^4

Add T(x) to the result and repeat this process until the degree of P(x) is higher than the degree of Q(x)

. 2 Result of P(x) / Q(x) is 46 21x + 11x^2 4x^3 + 2x ^4 .

Note that remainder is ignored.