How do you find the degree of 9x^{4}y^{3}-8x^{6}+4xy^{3}+7?

Alex Cervantes

Alex Cervantes

Answered question

2022-01-29

How do you find the degree of 9x4y38x6+4xy3+7?

Answer & Explanation

Alfred Mueller

Alfred Mueller

Beginner2022-01-30Added 10 answers

Explanation:
9x4y3 and 4xy3 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 x5, then you do the same to the Ys, you add them up and you should get: y6. now you check if you can add any thing else(you can't), so you are left with your remaining numbers which are: 8x6+7 and you just add that to the end and you will get should: 13x5y68x6+7.
Rylee Marshall

Rylee Marshall

Beginner2022-01-31Added 6 answers

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.
Term: 9x4y3,8x6,4xy3,7
Degree: 7, 6, 4, 0
The degree of the polynomial is the greatest of the degrees of the terms (with non-0 coefficients).
So the degree of 9x3y38x6+4xy3+7 is 7.

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