algebraic definition
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- Algebraic Expression – a number, variable, or combination of the two connected by some mathematical operation like addition, subtraction, multiplication, division, exponents and/or roots.
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Algebra: Using Mathematical Symbols Algebra is a branch of mathematics that substitutes letters for numbers, and an algebraic equation represents a scale where what is done on one side of the scale is also done to the other side of the scale and the numbers act as constants.
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Term more ... In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs.
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Glossary - Mathematical words you need to know Algebra is the branch of mathematics where symbols or letters are used to represent numbers. Angle. An angle is formed when two straight lines cross or meet each other at a point. The size of an angle is measured by the amount one line has been turned in relation to the other. Approximate. An approximate value is a value that is close to the actual value of a number.
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algebra See more synonyms on Thesaurus.com. noun. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
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- Check your grammar now! : an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
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Algebra Algebra (from Arabic al-jabr meaning reunion of broken parts) is one of the broad parts of mathematics, together with number theory, geometry and analysis.
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- 1 An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide).2  Here are some algebraic expressions:3  a + 1. 4  a-b. 5  3x. Algebraic Expression. 2  An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide).
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polynomial polynomial. mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a 0 x + a 1 x + a 2 x +…+ a n−1 x + an where n is a positive integer and a 0, a 1, a 2, … , an are any numbers.n example of a polynomial in one variable is 11 x 4 −3 x 3 +7 x 2 + x −8. The degree of a polynomial in one variable is the highest power of the variable appearing with a nonzero coefficient; in the example given above, the degree is 4.
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polynomial The definition of a polynomial is a mathematical formula or expression with several algebraic terms. An example of a polynomial is the mathematical expression 2x² + 4x³ + 3. an expression or name consisting of more than two terms; specif., Algebra a linear combination of products of integral powers of a given set of variables, with constant coefficients (Ex.: x + 3x + 2 or x – 2xy + y)
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- An expression is just a mathematical phrase. In this tutorial, you'll learn about two popular types of expressions: numerical and algebraic expressions. A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.
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- Back to Top. abstract algebra: the area of modern mathematics that considers algebraic structures to be sets with operations defined on them, and extends algebraic concepts usually associated with the real number system to other more general systems, such as groups, rings, fields, modules and vector spaces.
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Polynomial In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.f F is a field and f and g are polynomials in F[X] with g ≠ 0, then there exist unique polynomials q and r in F[X] with. and such that the degree of r is smaller than the degree of g (using the convention that the polynomial 0 has a negative degree). The polynomials q and r are uniquely determined by f and g.
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- abstract algebra: the area of modern mathematics that considers algebraic structures to be sets with operations defined on them, and extends algebraic concepts usually associated with the real number system to other more general systems, such as groups, rings, fields, modules and vector spaces.
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Algebraic expression For example, 3 x 2 − 2 x y + c {\displaystyle 3x^{2}-2xy+c} is an algebraic expression. Since taking the square root is the same as raising to the power 1 2 {\displaystyle {\tfrac {1}{2}}} , is also an algebraic expression. By contrast, transcendental numbers like π and e are not algebraic. A rational expression is an expression that may be rewritten to a rational fraction by using the properties of the arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).
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Writing Algebraic Expressions A variable is a symbol used to represent a number in an expression or an equation. The value of this number can change. An algebraic expression is a mathematical expression that consists of variables, numbers and operations. The value of this expression can change.
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Algebra Homework Help : Algebraic Terms and Definitions A polynomial that has three (unlike) terms is called a trinomial. (e.g., 3x + 5y + 7z and 6x2 + 9x + 12). Like terms are those that have exactly the same variables and exponents. They may differ only in their coefficients. Importantly, the only algebraic terms that can be combined (added or subtracted) are like terms. Thus, 7y 2 z and −9y 2 z are like terms, but x 2 y and xy 2 are unlike terms. A collection of algebraic terms connected by mathematical symbols is called an algebraic expression, and an algebraic expression whose parts are not separated by + or − signs is called a term. Thus, 5x 2 + 3xy + 2y 2 is an algebraic expression with three terms 5x 2, 3xy and 2y 2.
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Algebra Algebra is a powerful and rich branch of mathematics that is useful in everyday life as well as business, engineering, and other technical fields.
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linear equation n. An algebraic equation, such as y = 2 x + 7 or 3 x + 2 y-z = 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables.n algebraic equation, such as y = 2 x + 7 or 3 x + 2 y-z = 4, in which the highest degree term in the variable or variables is of the first degree.
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Writing Algebraic Expressions Summary: A variable is a symbol used to represent a number in an expression or an equation. The value of this number can change. An algebraic expression is a mathematical expression that consists of variables, numbers and operations. The value of this expression can change.
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Algebraic Equations Algebraic Equations. Top. Algebraic equation is an equation of the form $A$= $B$ where $A$ and $B$ are polynomials in some field. If a polynomial equation contain several variables then it is called multivariate and the polynomial equation is referred to as algebraic equation.
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- An algebraic rule is a mathematical expression that relates two variables and is written in the form of an equation. There are many constant algebraic rules, such as area = length x width. You can also create your own rule when given a set of variables.
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- Algebraic Expressions. An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It's only a phrase, not the whole sentence, so it doesn't include an equal sign.
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Expression (mathematics) Expression (mathematics) In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
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polynomial Check your grammar now! : a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (as a + bx + cx2)
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Algebra Algebra (from Arabic al-jabr meaning reunion of broken parts[1]) is one of the broad parts of mathematics, together with number theory, geometry and analysis.