Hello amazing math people. We're going to look at polynomials and the degree of a term. The degree of the term, we're going to list several terms, let's say 6X7 Y to the fifth ten, X ^2 y to the 9th, 9X to the 12th Y to the fifth Z. And let's just put the number 12 in also the degree of a term. These are each individually terms. A term is made-up of a coefficient. Sometimes the coefficient is 1, so we actually could have had maybe just plain old X by itself. So sometimes the number in front is one or six or seven, 10912. Those are called the coefficient. We also have the variable XYXYXYZ and the exponent. The exponent here is understood to be one if there's no number. So the degree of this very first one is a degree of 1, so degree of one. Actually these first two both have degree of one. This next one has a degree of five because it's the exponent. Now it gets a little tricky when we have two exponents on the variables, but what we actually do is we just add the two numbers together. So the degree is 11 for 10 X squared Y in the ninth. Here we'd have 12 + 5 + 1 for a degree of 18. And this 12, I wanted to put him in because he's a little trickier. He doesn't have any variable. So the degree of this one is going to be 0. Now to find the degree of a polynomial. Polynomial is just made-up of terms. We add or we subtract terms. So let's say we had six X -, 7 Y to the fifth plus ten X ^2 y to the 9th -9 X 12th Y to the 5th Z -, 12. The way we find the degree of the polynomial is we find the degree of each and every term. Well, we did that a minute ago. So the first term is going to be 1 and 5/11/18 and 0, the degree of the whole polynomial. We just look at all of these terms and we choose the biggest. So 18 would be the degree of this polynomial. So degree 18, we just choose the biggest single degree of each individual term. We also want to talk about combining like terms. To combine like terms, the variable portion has to be exactly the same. So the variable has to be exactly the same. If we look at this equation that I'm just totally making up off the top of my head, what we're going to do is we're going to look for the variable portions that are exactly the same. So if this has a variable of 1X and 1Y, the exponents on the X&Y are to the first. I need to look for things with an X to the 1st and AY to the first to be able to combine them. So this six XY and that three XY are like terms and we combine to get 9 XY's. We're going to then look for X ^2 y S. Here's an X ^2 y. We look and we say oh look, here's another X ^2 y. So these two are going to combine to give us -18 X squared Y. Pay attention to the signs, they are important. Then I'm going to look at the XY squared. Here's another XY squared. If there's no number in front of it, it's an understood 1. So if I have one XY squared and I take away 12 XY squared, that's going to leave me -11 XY squared. Have a great day.