Identify each expression as a polynomial or not a polynomial. For...

Question

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 6x+3x^4

Accepted Answer

Hello. Today we're gonna be determining whether the given expression is a polynomial or not. So what we are given is 10 X plus 32 X to the 13th. The first term has an exponent of positive one. And the rules of polynomial state that expression will classify as a polynomial if every exponent is a positive integer. The exponents given to us are positive one and positive 13. And both of these values classify as positive integers. So since we have all the exponents is positive integers, this is going to be a polynomial. Now that we know that this is a polynomial, we need to indicate the degree of the polynomial and the classification The degree of the polynomial is going to be the value of the highest given exponents and between one and 13, 13 is the highest exponent with that being said, the degree of the polynomial given to us is going to be 13. Now let's figure out the classification for the polynomial. So we are determined or were given to determine whether this is a mono meal binomial. Try no meal or none of these. A mono meal is a polynomial with one term. A binomial is a polynomial with two terms and a try no meal is a polynomial with three terms and anything that is greater than three terms is not going to classify as any of these options in the given polynomial. We have two terms in total because we are given 10 X and 32 X to the 13th and since we have two terms, this is going to classify as a binomial. So just to review this is a polynomial, because every exponent in the given expression is a positive integer, the degree of this is going to be 13 because 13 is the highest value of exponents. And this is a binomial. Since we have two terms with that being said, the answer to this problem is going to be a So I hope this video helps you in understanding how to approach this problem and I'll go ahead and see you all in the next video.

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Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 6x+3x^4