Q: Is a number a variable or the product of a number and one or more variables raised to whole number powers?

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It is the integral power of the number or the product of the number and variable(s). there is no special name.

They are the integer powers of that variable.

A polynomial term is a product of a number and one or more variables raised to various powers. The powers must be non-negative integers.

No. Like terms should contain the same variable or variables, raised to the same powers. Like terms are those that can be combined by addition or subtraction.

In such cases, typicall different variables appear raised to different powers. You choose the smallest of such powers. If a variable only appears in one of the two expressions, you don't include it at all.

For a polynomial in a single variable you start with the term containing the highest power of that variable and then follow with the next highest power and so on. For polynomials is several variables, you first group them by the sum of the powers of all the variables (remember that y is y^1). Then, you order each group by the power of one variable, then another variable and so on.

-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.

A polynomial consists of terms which are multiples of non-negative integer powers of a single variable. An expression may contain several variables, or it may contain powers that are negative or fractional.

A monomial is a product of positive integer powers of a fixed set of variables. Monomials were invented by Austrian mathematician Bruno Buchberger.

A polynomial is a function comprising of a finite number of non-negative integer powers of one variable. Thus given a variable x, a polynomial in x is any function of the type a0 + a1x + a2x2 + ... + anxn for some finite number n, where a0, ... an are constants. A non-polynomial is any other function of one, or more, variables. These could be trigonometric, exponential, logarithmic or involve fractional or negative powers.

It is an expression with one variable, which is a linear combination of integral powers of that variable.In simpler words, a polynomial in a variable x consists of a sum of a number of terms of the form axn where a is a number, called the coefficient and n is a positive integer.

To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.

You factor the number into prime factors, dividing each prime out.

One, if you use different variables. For example, a + b + 1. Two, if you use a single variable and only use positive integral powers. For example, x2 + 5x - 6.

Equations using multiple variables, or powers of variables, may not provide a simple numerical value for a given variable. Equations that are solvable using the quadratic formula may result in two values.

Simultaneous equation* * * * *No, simultaneous equations are two or more equations that have all to be true at the same time (simultaneously) for the solution.An equation with more than one variable is a multivariate equaion.Area = 0.5*Length*Height or a = 0.5*l*h for the area of a triangle has more than one variables, but it is certainly not simultaneous.An equation with a variable is called a single variable equation. An equation that has more than one variable is called as a multi-variable equation. A polynomial equation has one variable in different powers: a common example is quadratic equations.

Numbers that have the same variable or powers of a variable, such as 2x and 6x.

Factor the coefficients normally. Choose the higher powers of the variables.

That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)

Yes 6 is a polynomial, according to the Hawks Learning System.**a more detailed explanation**"A polynomial is defined as a term or a finite sum of terms, with only positive or zero integer exponents permitted on the variables" (Lial, Hornsby, Schneider; 2005)and "The product of a real number and one or more variables raised to powers is called a term" (Lial, Hornsby, Schneider; 2005)So since any variable raised to the zero power is 1, then 6x^0 is the same as 6x1, which equals 6.So yes, 6 is considered a polynomial.

A linear equation is one in which the power of each of the variables is one.For example: 3x - 5 = 2yor 2.5x + 32*y = sqrt(97)z - 6Although there are powers associated with the numbers in the second example, all the variables are to the power one.The reason for the name is that an equation with n variable, when graphed in n-dimensional space, gives a straight line.A linear equation is one in which the power of each of the variables is one.For example: 3x - 5 = 2yor 2.5x + 32*y = sqrt(97)z - 6Although there are powers associated with the numbers in the second example, all the variables are to the power one.The reason for the name is that an equation with n variable, when graphed in n-dimensional space, gives a straight line.A linear equation is one in which the power of each of the variables is one.For example: 3x - 5 = 2yor 2.5x + 32*y = sqrt(97)z - 6Although there are powers associated with the numbers in the second example, all the variables are to the power one.The reason for the name is that an equation with n variable, when graphed in n-dimensional space, gives a straight line.A linear equation is one in which the power of each of the variables is one.For example: 3x - 5 = 2yor 2.5x + 32*y = sqrt(97)z - 6Although there are powers associated with the numbers in the second example, all the variables are to the power one.The reason for the name is that an equation with n variable, when graphed in n-dimensional space, gives a straight line.

Like terms.

They are called "like terms".

Like terms.

No.