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