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Answer: Three
Step-by-step explanation:
I am going to assume the first value is 6xy² and not 6xy2
6xy² − xy + 8 + 12y
The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).
The degree of the polynomial is the same as the degree of the highest term, so your answer is:
three
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The degree of this polynomial is 3.
The degree of a polynomial is the highest degree of its individual terms (also known as the monomials) which have a non zero coefficient.
Here in this case, we have the following polynomial: 6xy 2xy +8+ 12y
Each term has degree equal to the sum of the exponents on the variables. So for a term with two variables has the highest degree: 6xy2
1 for x and 2 for y: 1+ 2 = 3 Therefore, the degree of this polynomial is 3.
The degree of the polynomial 6xy2 − xy + 8 + 12y is 3 .