Question 88430
Hi, I'm trying to understand the topic of Degree of polynomials but Idon't
quite get it, and I'm stuck in this problem, how can I determine the degree of
this polynomial? 
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8x<sup>3</sup> + 6x<sup>2</sup>y + 4xy<sup>3</sup> - 2y<sup>4</sup> 

The degree of a polynomial is the most number of variables
that are multiplied together in any term of the polynomial

So let's write the eponentials as multiplications of variables:

8x<sup>3</sup> + 6x<sup>2</sup>y + 4xy<sup>3</sup> - 2y<sup>4</sup> becomes

8xxx + 6xxy + 4xyyy - 2yyyy

The longest strings of multiplied letters are xyyy and yyyy.
Both are strings of 4 multiplied letters, so the degree of the 
polynomial is 4.

Edwin