What degree of polynomial is 5a2bc plus 6a2b3c-7b2c7?

Answer 1

To determine the degree of the polynomial (5a^2bc + 6a^2b^3c - 7b^2c^7), we need to find the term with the highest total degree. The degrees of the individual terms are as follows: (5a^2bc) has a degree of 4 (2 from (a^2), 1 from (b), and 1 from (c)), (6a^2b^3c) has a degree of 6 (2 from (a^2), 3 from (b^3), and 1 from (c)), and (-7b^2c^7) has a degree of 9 (2 from (b^2) and 7 from (c^7)). Therefore, the polynomial's degree is 9.