SOLUTION: 3x^2y^6z^3 + 2x^5y^3z^7 - 77 + 3x^5 what would the degree on this polynomial be?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 3x^2y^6z^3 + 2x^5y^3z^7 - 77 + 3x^5 what would the degree on this polynomial be?      Log On


   

Question 251794: 3x^2y^6z^3 + 2x^5y^3z^7 - 77 + 3x^5
what would the degree on this polynomial be?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The degree of any monomial is just the sum of all of the exponents. So the degree of 3x%5E2y%5E6z%5E3 is 2%2B6%2B3=11 and the degree of 2x%5E5y%5E3z%5E7 is 5%2B3%2B7=15. The degrees of 7 and 3x%5E5 are 0 and 5 respectively.


The degree of the entire polynomial is the largest degree of all of the monomials present. So the degree of 3x%5E2y%5E6z%5E3+%2B+2x%5E5y%5E3z%5E7+-+77+%2B+3x%5E5 is 15 since this is the largest degree among the individual monomials.