Question

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

Answer 1

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

`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.