PolynomialAddMethod.java

public class Polynomial {
	public Polynomial add(Polynomial p) {
		
		int degp = p.coeffs.length;
		int degthis = this.coeffs.length;
		
		int mindegree = Math.min(degp, degthis);
		int maxdegree = Math.max(degp, degthis);
		
		
		// Part I
		
		double[] newcoeffs = new double[maxdegree];
		for(int i = 0; i<mindegree; i++) {
			newcoeffs[i] = p.coeffs[i]+this.coeffs[i];
		}
		
		
		// Part II
		
		if( degp == maxdegree ) {
			// Polynomial parameter is the larger of the two
			for( int i = mindegree; i<maxdegree; i++) {
				newcoeffs[i] = p.coeffs[i];
			}
		} else if( degthis==max ) {
			// This Polynomial is the larger of the two
			for( int i = mindegree; i<maxdegree; i++) {
				newcoeffs[i] = this.coeffs[i];
			}
		}
		
		Polynomial result = new Polynomial(newcoeffs);
		
		return result;
	}
}