From the looks of the problem you have, you have to combine like terms to simplify the expression; however, none of the polynomials can be simplified any further. Nevertheless, we can factor the expression:
7x²y³-6x²y+y² = [x²·(7y²-6)+y)]·y = x²·(7y³-6y)+y²
A numerical coefficient is a multiplicative factor in polynomials and monomials. Ex: In y = n·x², n is the coefficient of the polynomial.
The word "degree" has many meanings in mathematics; however, speaking in relative terms to polynomials, a degree is essentially the exponent. Ex: in y = n·x², 2 is the degree of the polynomial.
· 9 years ago