In math, a polynomial is an equation that contains many terms. These terms may be monomials or other terms that are added or subtracted together.
For a polynomial to be a polynomial, the variable in each term must have an exponent that is a positive integer. This means no square roots, fraction powers, or variables in the denominator are allowed.
Option (c)
In math, an algebraic expression consists of constants, variables and arithmetic operators. Constants are fixed numerical values that do not have any variable attached to them. Variables are the unknown values present in an expression that we need to evaluate by solving the given equation. Operators are the arithmetic operations (add, subtract, multiply and divide) that we use to combine the terms of an expression.
A monomial is an expression that involves only one term, like 3xy + 5. An expression with more than one non-zero term is called a polynomial. A polynomial can be a trinomial, a quadromial, a quartomial or a quintomial. It can also be an exponential or a rational function. Moreover, a monomial can be negative. But it cannot be a fractional exponent.
Option (d)
A polynomial is an algebraic expression that is made of variables, numbers and at least one arithmetic operation. An expression may include a constant, which is a fixed numerical value that can be defined throughout the expression. It also includes a term, which is a combination of a variable and a number. The term can be a positive or negative number and is usually the first part of an equation.
Option (d) is an algebraic expression that combines three terms, a constant and two arithmetic operations. It has a coefficient of 4. A coefficient is the numerical factor of an expression that contains a variable. It is the most important part of a multiplication expression and it tells you which numbers are used to multiply each other.
Option (e)
An algebraic expression is a combination of variables, numbers and at least one arithmetic operation. An expression consists of terms (signified numbers) and factors, which are things that are multiplied by the variables.
There are a number of different types of algebraic expressions, including polynomials, monomials and trinomials. Each type has different properties.
For example, a polynomial has three terms in two variables and a trinomial has four terms in three variables. In addition, an expression can be expressed as a series of terms or in a power series.
Another common type of expression is a binomial, which is an expression that has two terms. This type of expression is commonly used in engineering and physics, but can be useful in a variety of other applications.
The third type of algebraic expression is a monomial, which contains only one term. These expressions are a good way to demonstrate basic math concepts, like multiplication and division.
A monomial can be positive or negative, but it cannot be both. It can also be a factor of another monomial. For example, the monomial 2x + 3xy+9 is a factor of 3xy+3x+2y+9. The greatest monomial factor is the sum of all the factors. To find the greatest monomial factor for a given monomial, you can use a formula. The formula uses the product of all the factors in a monomial and then multiplies them together.
Option (f)
A polynomial is an algebraic expression containing more than one non-zero term. The most common polynomials are exponential, quadratic and irrational. There is no standardized definition of a polynomial, but they are usually considered to be a sequence of numbers with mathematical operations such as addition, subtraction and multiplication. The most important characteristic of a polynomial is that it is a sequence of numbers, rather than a series of discrete values. This translates to a much higher degree of mathematical complexity. This also means that a polynomial is often more difficult to compute than a sequence of numbers. In other words, there is no centralized database of all polynomials.
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