This is a free lesson from our course in Algebra I In this lesson you'll go through the basics of a monomial, polynomial and the degree of a polynomial, as simply as possible and with the help of a number of examples. Some of the basic points in this lesson are mentioned below. Not that this might seem complicated here in text, but once you have instructor explain it to you in their voice and handwriting in the video above, it will be easy to follow. (More text below video...)
Other useful lessons:
 Distributing multiplication of a monomial with a 2nd degree polynomial Distributing Multiplication of two binomials - using foil method Distributing multiplication of two 2nd degree polynomials
(Continued from above) Here are some of the basics for you to keep in mind:
� 'monomial' refers to a polynomial that has only a single (mono) term and the product of multiplying monomials together also results in a monomial e.g. x, 2x, xy, (10xy4)/3
� 'polynomials' refer to mathematical expressions that contain multiple terms x + 5, 2x - 5, (5xyz3)/4 + 7x etc
� the degree of a term is the sum of the powers of each variable in the term. For example, the polynomial 5x4 + 2x3 - x + 7 has four terms. The first term has a degree of 4, the second term has a degree of 3, the third term has a degree of 1, and a last term has a degree of 0
� when a polynomial is expressed as a sum or difference of terms, the term with the highest degree, is the degree of the polynomial. Therefore, the polynomial has a degree of 4 which is the highest degree of any term
� while adding or subtracting polynomials, remember that you can only combine like terms. 'Like terms' contain the sample variables and differ by the numeric coefficient in the left, e.g. 4x and 6x are like terms, and can be added to get 10x
� multiplying polynomials is a little more complicated, and involves adding up the products of multiplying each term in the first polynomial by each term in the second polynomial. The lesson also explains the concept of 'FOIL', which is short form of "First, Outside, Inside, Last" and refers to which terms you multiply together and add up when multiplying two polynomials, each composed of two monomials. Again, this may appear little complicated here in text, but it will be easy to follow once you hear the instructor explain it in the video below.
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