When is an expression a polynomial

Polynomial Equation - is simply a polynomial that has been set equal to zero in an equation. Free Algebra Solver Popular pages mathwarehouse. Surface area of a Cylinder. Unit Circle Game. Pascal's Triangle demonstration. Create, save share charts. Also, polynomials can consist of a single term as we see in the third and fifth example. We should probably discuss the final example a little more.

This really is a polynomial even it may not look like one. Another way to write the last example is. By converting the root to exponent form we see that there is a rational root in the algebraic expression. All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial.

For instance, the following is a polynomial. There are lots of radicals and fractions in this algebraic expression, but the denominators of the fractions are only numbers and the radicands of each radical are only a numbers. Therefore this is a polynomial. The degree of each term in a polynomial in two variables is the sum of the exponents in each term and the degree of the polynomial is the largest such sum.

Also, the degree of the polynomial may come from terms involving only one variable. Note as well that multiple terms may have the same degree. We can also talk about polynomials in three variables, or four variables or as many variables as we need. Next, we need to get some terminology out of the way. A monomial is a polynomial that consists of exactly one term. A binomial is a polynomial that consists of exactly two terms.

Finally, a trinomial is a polynomial that consists of exactly three terms. We will use these terms off and on so you should probably be at least somewhat familiar with them. Now we need to talk about adding, subtracting and multiplying polynomials.

That will be discussed in a later section where we will use division of polynomials quite often. Very useful for those struggling with these concepts and there are many out there including parents struggling to help their kids in grades 6 to 8 with basic algebra. A very nice treatment of this topic and I think you should also create a YouTube channel and make short videos to go with each of your hubs and before long you will have lots of mathematics students following you.

Great work. I have to confess, I got confused and frustrated after the first paragraph. Math and I don't get on. But from what I could comprehend this seems to be a good hub and I don't doubt you'll be helping loads of people who maybe didn't understand their instructor's explanation. Marine Biology.

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