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. -7z^5-2z^3+1

Accepted Answer

Hello. Today we're going to be determining whether this expression is a polynomial or not. So the rules of the polynomial state that every term in the given expression must have a positive integer for its exponents. The exponents given to us are eight and four which both classify as positive integers. So since we have positive integers throughout this expression, this is going to be a polynomial. So now that we have identified this as a polynomial, we need to indicate the degree of the polynomial and we need to classify the polynomial. So let's go ahead and start by indicating the degree. The degree is the highest value of exploding given to us in this polynomial and the highest value of exporting given to us is going to be eight because eight is greater than four. So that means that the degree of this polynomial is going to be eight. Now let's go ahead and classify the polynomial. So for the classification is given to us, a mono meal has one term. A binomial has two terms and the tri no meal has three terms and we have any more terms that are greater than three. Then it's not going to classify as any of these three. But here this polynomial has three terms in total 14 Y to the eighth negative five Y to the 4th and 15 since we are given three terms, the classification is going to be a try no meal. So just to review this is a polynomial because all the exponents are positive integers. The highest degree of the polynomial is eight. And the classification of the polynomial is a try no meal with that being said. The answer to this problem is going to be C. 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.

Struggling with College Algebra?

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. -7z^5-2z^3+1

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