What is the degree of $3 x^{4} y^{2} - 5 x^{2} y + 3$ $3x^4y^2 - 5x^2y + 3$ ?

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What is the degree of $3 x^{4} y^{2} - 5 x^{2} y + 3$ $3x^4y^2 - 5x^2y + 3$ ?

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Answer 1 · 2015-06-26T18:25:09

It is degree $6$ $6$ .

Explanation:

The degree of a term (a monomial) is the sum of the exponents on the variables. The degree of a polynomial is equal to the degree of the term of the highest degree term with non-zero coefficient.

The degree of $3 x^{4} y^{2}$ $3x^4y^2$ is $6$ $6$ , because $4 + 2 = 6$ $4+2 = 6$

The degree of $- 5 x^{2} y$ $-5x^2y$ is $3$ $3$ , because $2 + 1 = 3$ $2+1 = 3$

The degree of $3$ $3$ is $0$ $0$ , because no variable to a positive power appears.

The degree of $3 x^{4} y^{2} - 5 x^{2} y + 3$ $3x^4y^2-5x^2y+3$ is the greatest of those degree, so it is $6$ $6$ .

Answer 2 · 2015-06-28T18:31:28

The degree is 6 and it is on the first term $3 x 4 y 2$ $3x4y2$ .

Explanation:

You must use exponential rules. When multiplying, sum the exponents. 4 + 2 = 6.

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What is the degree of $3 x^{4} y^{2} - 5 x^{2} y + 3$ $3x^4y^2 - 5x^2y + 3$ ?

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