What is the degree of the polynomial 5a^6 bc^2 + 8d^5 + 7e^6 f^2−10g^4 h^7 ?
The degree is found by adding the exponents of each term and selecting the greatest sum
Note that we could write this as :
5a^6b^1c^2d^0e^0f^0g^0h^0 + 8a^0b^0c^0d^5e^0f^0g^0h^0 + 7a^0b^0c^0d^0e^6f^2 - 10a^0b^0c^0d^0e^0f^0g^4h^7
First term = degree 9
Second term = degree 5
Third term = degree 8
Fourth term = degree 11