# How do you find the degree of 9x^4y^3 – 8x^6 + 4xy^3 + 7?

Oct 14, 2015

13x^5y^6-8x^6+7

#### Explanation:

9X^4 Y^3 and 4XY^3 have both the same letters so you add both the bases which are the 9 and the 4 which is: 13, then you add up the amount of Xs in ONLY those two which is X^5, then you do the same to the Ys, you add them up and you should get: Y^6. now you check if you can add any thing else(you can't), so you are left with your remaining numbers which are: -8X^6+7 and you just add that to the end and you will get should: 13x^5y^6-8x^6+7.

Oct 14, 2015

See the explanation, below.

#### Explanation:

For a polynomial in two (or more) variables, the degree of each term (with non-0 coefficients) is the sum of the powers on the variables.

{:(bb"Term",bb"Degree"), (9x^4y^3," "7),(-8x^6," "6) ,(4xy^3," "4) ,(7," "0) :}

The degree of the polynomial is the greatest of the degrees of the terms (with non-0 coefficients).

So the degree of $9 {x}^{3} {y}^{3} - 8 {x}^{6} + 4 x {y}^{3} + 7$ is $7$.