| 单词 | monomial |
| 例句 | If the expression is a polynomial, identify it as a monomial, binomial, trinomial, or other polynomial, and then find the degree of each polynomial. College Algebra with Corequisite Support 2020-09-23T00:00:00Z A monomial in one variable is a term of the form axm, where a is a constant and m is a whole number. Intermediate Algebra 2020-05-06T00:00:00Z With this chapter’s new vocabulary, you can say you were multiplying a binomial, x − 3 , by a monomial, 2. Elementary Algebra 2020-04-22T00:00:00Z A polynomial containing only one term, such as is called a monomial. Algebra and Trigonometry 2015-02-13T00:00:00Z But what, it may be inquired, is this great primary truth which the monomial system tends to violate? On the Variation of Species, with Especial Reference to the Insecta ; Followed by an Inquiry into the Nature of Genera 2012-01-17T03:00:21.933Z A monomial in algebra is a quantity which consists of a single term. Orthography As Outlined in the State Course of Study for Illinois A monomial is an algebraic expression with one term. Intermediate Algebra 2020-05-06T00:00:00Z Multiplying a binomial by a monomial is nothing new for you! Elementary Algebra 2020-04-22T00:00:00Z State whether the following statement is true and explain why or why not: A trinomial is always a higher degree than a monomial. Algebra and Trigonometry 2015-02-13T00:00:00Z Using your own words, explain the difference between a monomial, a binomial, and a trinomial. Intermediate Algebra 2020-05-06T00:00:00Z So far our greatest common factors have been monomials. Intermediate Algebra 2020-05-06T00:00:00Z Notice that every monomial, binomial, and trinomial is also a polynomial. Intermediate Algebra 2020-05-06T00:00:00Z The method we’ll use to divide a polynomial by a monomial is based on the properties of fraction addition. Elementary Algebra 2020-04-22T00:00:00Z Sometimes the expression to be substituted is not a monomial. Intermediate Algebra 2020-05-06T00:00:00Z Next, you’ll see how to use these properties to divide monomials. Elementary Algebra 2020-04-22T00:00:00Z In the next example, we’ll first find the product of two monomials in the numerator before we simplify the fraction. Elementary Algebra 2020-04-22T00:00:00Z Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Intermediate Algebra 2020-05-06T00:00:00Z We use this form of fraction addition to divide polynomials by monomials. Elementary Algebra 2020-04-22T00:00:00Z As you continue to build up your knowledge of polynomials the next procedure is to divide a polynomial of two or more terms by a monomial. Elementary Algebra 2020-04-22T00:00:00Z We use the form on the left to add fractions and we use the form on the right to divide a polynomial by a monomial. Elementary Algebra 2020-04-22T00:00:00Z When you are asked to divide a polynomial by a monomial and it is not already in fraction form, write a fraction with the polynomial in the numerator and the monomial in the denominator. Elementary Algebra 2020-04-22T00:00:00Z If the monomials are like terms, we just combine them by adding or subtracting the coefficients. Intermediate Algebra 2020-05-06T00:00:00Z A monomial, or two or more monomials combined by addition or subtraction, is a polynomial. Elementary Algebra 2020-04-22T00:00:00Z Now we will add rational expressions whose denominators are monomials. Elementary Algebra 2020-04-22T00:00:00Z A polynomial is factored completely if, other than monomials, all of its factors are prime. Elementary Algebra 2020-04-22T00:00:00Z Remember, a polynomial is completely factored if, other than monomials, its factors are prime! Elementary Algebra 2020-04-22T00:00:00Z Since monomials are algebraic expressions, we can use the properties of exponents to multiply monomials. Intermediate Algebra 2020-05-06T00:00:00Z We’ll take it step by step, starting with monomials, and then progressing to polynomials with more terms. Elementary Algebra 2020-04-22T00:00:00Z Did you notice that these are the same steps we took when we divided monomials in Polynomials? Elementary Algebra 2020-04-22T00:00:00Z When it is of the form axm , where a is a constant and m is a whole number, it is called a monomial. Elementary Algebra 2020-04-22T00:00:00Z A monomial is a polynomial with exactly one term. Elementary Algebra 2020-04-22T00:00:00Z Some examples of monomial in one variable are. Intermediate Algebra 2020-05-06T00:00:00Z Since monomials are terms, adding and subtracting monomials is the same as combining like terms. Elementary Algebra 2020-04-22T00:00:00Z We use the words monomial, binomial, and trinomial when referring to these special polynomials and just call all the rest polynomials. Elementary Algebra 2020-04-22T00:00:00Z A monomial that has no variable, just a constant, is a special case. Elementary Algebra 2020-04-22T00:00:00Z If the monomials are like terms, we just combine them by adding or subtracting the coefficient. Elementary Algebra 2020-04-22T00:00:00Z We can think of adding and subtracting polynomials as just adding and subtracting a series of monomials. Intermediate Algebra 2020-05-06T00:00:00Z |
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