What is the degree of $9 x y^{3} z^{6}$ $9xy^3z^6$ ? (second problem) $3 x^{3} - 2 x^{2} y^{2} + y^{2}$ $3x^3 - 2x^2y^2 + y^2$ ?

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What is the degree of $9 x y^{3} z^{6}$ $9xy^3z^6$ ? (second problem) $3 x^{3} - 2 x^{2} y^{2} + y^{2}$ $3x^3 - 2x^2y^2 + y^2$ ?

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Answer 1 · 2015-05-21T23:27:39

The degree of a monomial is how many variables are in it. In $9 x y^{3} z^{6}$ $9xy^3z^6$ , there are actually 10. This is actually:

$9 \times x \times y \times y \times y \times z \times z \times z \times z \times z \times z$ $9 timesxtimesytimesytimesytimesztimesztimesztimesztimesztimesz$

So, there are 10 variables, even though some are repeated.

[Second Problem]

I'm not sure what to do with this one. It's just an expression. I can't simplify it. I may be able to factor it. Can you let me know in the comments what to do with this? Without it, this is just a degree 4 polynomial.

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What is the degree of $9 x y^{3} z^{6}$ $9xy^3z^6$ ? (second problem) $3 x^{3} - 2 x^{2} y^{2} + y^{2}$ $3x^3 - 2x^2y^2 + y^2$ ?

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What is the degree of $9 x y^{3} z^{6}$ $9xy^3z^6$ ? (second problem) $3 x^{3} - 2 x^{2} y^{2} + y^{2}$ $3x^3 - 2x^2y^2 + y^2$ ?