polynomial definition math term
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polynomial Definition of polynomial : 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 (such as a + bx + cx 2)
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Polynomial Functions The power or exponent of the first term of a polynomial function is called the degree of the polynomial function when it is written in the standard form. If any polynomial not represents in the standard form then first we have o convert it into the standard form, after that we can easily find the degree of that function.
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- According to Dictionary.com, the word quadratic is derived from the Latin word quadratus and means square.. In math, a quadratic refers to a polynomial where the highest degree of the term is two, which means the largest term in the polynomial is squared or raised to the second power.
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- That critter in the last section is a polynomial! Here are some others: Polynomial is a pretty big word, but it's not a hard thing. (We use big words in math so other people think we are smart.. For now (and, probably, forever), you can just think of a polynomial as a bunch of blobs all added or subtracted. The blobs are just products of numbers and letters with exponents. As you'll see later on, polynomials have cool graphs:
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Polynomials~are expressions of finite length consisting of variables or constants either added, subtracted, or multiplied together with non-negative, whole number exponents. ~Examples of variables: X is the variable X Y is the variable Y ^2 Z is the variable Z. ~ Degree: of a polynomial is the highest exponent of all the terms in the expression.If a term has more than one. variable you must add the powers of the two variables in order to get the degree of that term.Examples of variables: X is the variable X Y is the variable Y ^2 Z is the variable Z. ~ Degree: of a polynomial is the highest exponent of all the terms in the expression.
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Polynomial The process of performing such a division is called long division, with synthetic division being a simplified method of recording the division. For any polynomial, divides, meaning that the polynomial quotient is a rational polynomial or, in the case of an integer polynomial, another integer polynomial (N.
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- Monomial, binomial, trinomial, . . . polynomial. An algebraic expression consisting of a single term is called a monomial, expression consisting of two terms is binomial, three terms trinomial and an expression with more than three terms is called polynomial. A monomial is a term containing variables with only nonnegative integers as exponents.
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THE VOCABULARY OF POLYNOMIAL FUNCTIONS for the general form of a polynomial see problem 6 below 6 the degree of a term is the sum of the exponents of all the variables in that term in functions of a single variable such as x the degree of a term is simply the exponent
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polynomial Part of the Computing fundamentals glossary: A polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient.The simplest polynomials have one variable. A one-variable (univariate) polynomial of degree n has the following form:hen n = 2, it is a quadratic equation; when n = 3, it is a cubic equation; when n = 4, it is a quartic equation; when n = 5, it is a quintic equation. The larger the value of n, the more difficult it is to find all the roots of a univariate polynomial equation. Some polynomials have two, three, or more variables.
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Term (mathematics) In elementary mathematics, a term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or-sign in an overall expression. For example, in.
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Dedrick People with this name have a deep inner desire for travel and adventure, and want to set their own pace in life without being governed by tradition. People with this name tend to be passionate, compassionate, intuitive, romantic, and to have magnetic personalities. They are usually humanitarian, broadminded and generous, and tend to follow professions where they can serve humanity.
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Polynomial Functions Functions and relations are found everywhere in maths. We can define as relation as a set of ordered pair connected together in a well defined manner. On the other hand, a function is a relation which has only one output value of each permitted or allowed input value. There are several different kinds of functions. Polynomial function is one of the important ones. As the name polynomial itself indicates, poly stands for many and nomial suggests terms. Thus, the function which contains many terms is called as a polynomial.
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Polynomials Classification of Polynomials. Ascending Order-An ordering of terms of a polynomial in which the degree of each term is at least as large as the degree of the preceding term. Binomial-A polynomial with two terms. Common Factor-A factor of all the terms in an expression. Degree-of a monomial. The sum of the exponents of its variables. of a polynomial. The largest of the degrees of its individual terms. Descending Order-An ordering of terms of a polynomial in which the degree of each term is no larger than the degree of the preceding term.
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polynomial A polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient. The simplest polynomials have one variable. anxn + an-1xn-1 + ... where the a's represent the coefficients and x represents the variable.
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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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- Root (of a polynomial) The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to zero. For example, to find the roots of We are trying find find what value (or values) of x will make it come out to zero. To do this we set the polynomial to zero in the form of an equation: Then we just solve the equation.
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- Basics of Polynomials. A polynomial is what we call any function that is deﬁned by an equation. of the form. p(x)=anxn +an1xn1 +···+a1x+a0. where an,an1,...a1,a0 2 R. Examples. The following three functions are examples of polynomials.
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Polynomial long division Polynomial long division. In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones.
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THE VOCABULARY OF POLYNOMIAL FUNCTIONS (For the general form of a polynomial, see Problem 6 below.) 6. The degree of a term is the sum of the exponents of all the variables in that term. In functions of a single variable, such as x, the degree of a term is simply the exponent. Example 2. The term 5x3 is of degree 3 in the variable x. Example 3.
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Degree of a polynomial The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial). For example, the polynomial has three terms.he degree of a term is the sum of the exponents of the variables that appear in it. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial). For example, the polynomial has three terms.
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Degree of a polynomial The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
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polynomial (in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax 2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
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quantity term-any distinct quantity contained in a polynomial; the general term of an algebraic equation of the n-th degree. quantity-the concept that something has a magnitude and can be represented in mathematical expressions by a constant or a variable.
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Degree of a polynomial The degree of a term is the sum of the exponents of the variables that appear in it. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial). For example, the polynomial has three terms.
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Algebra - Basic Definitions There are special names for polynomials with 1, 2 or 3 terms: Like Terms Like Terms are terms whose variables (and their exponents such as the 2 in x 2) are the same. In other words, terms that are like each other. (Note: the coefficients can be different)
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Polynomial Functions A polynomial function has the form , where are real numbers and n is a nonnegative integer. In other words, a polynomial is the sum of one or more monomials with real coefficients and nonnegative integer exponents. The degree of the polynomial function is the highest value for n where an is not equal to 0. Polynomial functions of only one term are called monomials or power functions. A power function has the form .