Find the Degree 5a^2bc+6a^2b^3c-7b^2c^7

$5 a^{2} b c + 6 a^{2} b^{3} c - 7 b^{2} c^{7}$

Step 1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$5 a^{2} b c \to 4$

$6 a^{2} b^{3} c \to 6$

$- 7 b^{2} c^{7} \to 9$

Step 2

The largest exponent is the degree of the polynomial.

$9$