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some of these are not polynomials some of them are polynomials lets talk about it as we go through each example so this first one f of X equals 2x to the fourth minus 8 okay so what we want to take a look at is that this is a difference of two monomials monomial is just one term okay and theyre separated by plus or minus those are the separate terms there because this has two terms we call this a binomial see two terms binomial like bicycle two wheels then what we do is we look at the term that has the highest power and Ill see how this is a fourth power so we can say that this is a fourth degree or we could call it a quartic so if we put all that together this is called a quartic binomial okay so lets just write that down for is quartic for the degree quartic and number of terms well say - or we could say its a binomial and then the leading coefficient you when you write these polynomials you want to write them in descending order from the highest power down to the lowest power