how-to-name-polynomials-degree-number-of-terms-monomial-binomial-trinomial-quartic

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Good day students welcome to mathgotserved.com in this clip we're going to be going over how to name polynomials or right before we get started I would some examples what were going to do first is take a look at Om how to name polynomials using the degree of the polynomial expression and also how to name the polynomial using the number of terms okay so what were going to do is combine the strategy for Navy by degree and normal terms in order to name polynomials I degree and number of terms all right let's start with the first one which is in the mean by degree okay so if you know that the Google polynomial you can use that information to name the polynomial so let's go over to different names that the polynomial's have these on the degree of the polynomial of the first: we're going to be place in the degree of the polynomial and the second column We're going to be taking a look at what the name of the polynomial is based on the degree now what if the degree of the polynomial is zero now before we get started with that recall that the degree is the highest exponent of the leading term of the Om polynomial expression okay so the leading term if the polynomial is written in standard form in this in order of degrees the term with the highest degree that degree value is 0° of the polynomial okay so the degree is zero the name of the polynomial is a constant in the degree is one then we have a lean year polynomial is the degrees two we have a quadratic if you think about Om quadratic equations the highest power exponential value is normally two okay so that's what it called quadratic equations in the height is a Google polynomial is three then it is called the cubic think about reason numbers to the third power what you call that is called cubed right the cube of a number so that's why we have cubic the comes from the word cubed now how about the fourth degree polynomial before degree polynomial is called a quartic four to okay what quartic or or take is a how you name the fourth degree polynomial now what if you have a feet degree polynomial if it degree polynomial is called equation take okay so for all to the to animals P concourses these are the unique means that Om can be assigned to polynomial's bees of your degree after that's you basically use the ordinal position of the degree to name the polynomial so for example you have six can be called a sixth degree polynomial okay the sixth degree polynomial advantages go on on on on like that so if you have the degree and you call the polynomial nth degree polynomial so that basically how you name polynomials using the degree right now what we're going to do is name the polynomial using the number of terms okay so naming by the number of terms right so let's make of my for the chart here to help us see how to name polynomials using the number of terms that the polynomial has okay so will be doing after that this process is basically looking at examples in combining naming by degree with naming by number of terms to determine the name of the polynomial alright so in the first column we're going to take a look at the number of terms and in the second: will going to take a look at the name of that polynomial based on the number of terms now what if you have one term Opal in all of one term is called a multinomial think about works that have mono associated with them so if you think about monopoly for examples physically the financial system were one company dominates a particular sector okay so mono you think about one if you have two terms you have even by no real think about the Ward by means to like biweekly every two weeks or bicycle the Ms. two tires so by comes from is associated with the word to how Monica have three terms think about bicycles right bicycles have two tires what do the cooler three times what it holds the a cold tricycles right so the name is going to be you might have guessed it the trinomial okay you can also think about the geometric figure the triangle so geometric figure with three sides rights a try would three now these are the unique names that we have for polynomial these on the number of terms so what Om subsequent mobile terms will be named using that number of terms okay so we have four you would you simply say the polynomial with four terms okay and polynomial with four terms after this we don't have any unique names okay after the third number of terms so polynomial with four terms so for an just full that pattern you have and terms you call it the polynomial with and terms were and is an integer of course polynomial with in terms a positive integer now let's go ahead and take a look at some examples making use of a combination of information from these two tables that we have here now let's try out some e

Tagged under: algebra 2 honors, , polynomials,monomial,binomial,trinomial,quartic,quintic,cubic,linear,common core

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