# Write an algebraic expression in which one term is the product of two variables

Search form Search Problem: Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class. Let g represent the number of groups in Ms. Both uses of this notion can be found, and in many cases the distinction is simply ignored, see for instance examples for the first  and second  meaning. In informal discussions the distinction is seldom important, and tendency is towards the broader second meaning.

## Modeling and Solving Problems Involving Perimeter

When studying the structure of polynomials however, one often definitely needs a notion with the first meaning. This is for instance the case when considering a monomial basis of a polynomial ringor a monomial ordering of that basis. An argument in favor of the first meaning is also that no obvious other notion is available to designate these values the term power product is in use, in particular when monomial is used with the first meaning, but it does not make the absence of constants clear eitherwhile the notion term of a polynomial unambiguously coincides with the second meaning of monomial.

The remainder of this article assumes the first meaning of "monomial". Monomial basis The most obvious fact about monomials first meaning is that any polynomial is a linear combination of them, so they form a basis of the vector space of all polynomials, called the monomial basis - a fact of constant implicit use in mathematics.

Number[ edit ] The number of monomials of degree d in n variables is the number of multicombinations of d elements chosen among the n variables a variable can be chosen more than once, but order does not matterwhich is given by the multiset coefficient.A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

Each term in an algebraic expression is separated by a + sign or a – sign. Expression with one term is called a monomial, with two unlike terms is called a binomial, Write an algebraic expression for each verbal phrase. a. d. tranceformingnlp.comtEE.C.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables . A term is a constant or the product of a constant and one or more variables.

Some examples of terms are $7,y,5{x}^{2},9a,\text{and }13xy$. The constant that multiplies the variable(s) in a term is called the coefficient.

Grade 6 Mathematics, Quarter 2, Unit Identify, Write, and Evaluate Expressions describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as one another; write an equation to express one quantity, thought of as the dependent variable, in.

## Addition and Subtraction of Algebraic Expressions

Algebraic Expressions When we combine numbers and variables with the ordinary operations of arithmetic (in some meaningful way), the result is called an algebraic expression. Addition/subtraction signs separate algebraic expressions into terms.

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

An example of a polynomial of a single indeterminate, x, is x 2 − 4x + tranceformingnlp.com example in three variables is x 3 + 2xyz 2 − yz + 1.

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