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Mathematically correct
In polynomial, the remainder of letters is removed from each term, such as 3x+2, and the remainder of letters is removed from 3x term, which is called coefficient.

A constant is a constant,

The concept of factor is defined on the basis of the concept of multiple of divisor. If A is divisible by B, then A can be called a factor of B. For example, the factor of 12 is 1, 2,3,4,6, 12.

$ term means grouping and number of groups.

What is the definition of+/-?

Probably the law of addition, subtraction and exchange