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The statement is true only if either the number is 0, or the variables are all raised to the power 0. In no other case can a variable involved.

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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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What is a number variable or the product of a number and one more variables raised to whole number powers?

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


What are variable raised to whole number powers?

They are the integer powers of that variable.


What is a polynomial term?

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.


Like terms have the same variable but may be raised to different powers?

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.


How do you find the GCF of two numbers with variables?

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.


Does an equation have one true solution?

-- 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.


How do you put a polynomial in standard form?

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.


Who invented monomials?

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


How can you tell by looking only at the equation of a function with no graph that it is nonlinear?

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.


What is the smallest degree a trinomial can have?

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.


What is a disadvantage to using equations?

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.


How do you express a number as the product of powers of its prime factors?

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