Theory:

A term is either a single number or a variable or multiplied together by a number or a variable. In other words, the terms of expression are the parts that are separated by an algebraic operation.         
Example:
\(5a\) \(-\) \(3\). (In this case, \(5a\) is the first term and, \(3\) is the second term. So, we have \(2\) terms.)
A coefficient is a number used for the multiplication of a variable.
Example:
The expression \(5a\) \(-\) \(3\) has only one coefficient. (In this case, \(5\) is coefficient of \(a\). where \(5a\) means \(5\) times \(a\). So \(5\) is the numerical coefficient, \(a\) is a variable, and \(3\) is constant.)
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Example:
In the following expression, list out the terms and coefficients:
 
\(4x^3y^2+2x^2-3x+4\).
 
Terms:
  • \(4x^3y^2\) is the first term.
  • \(2x^2\) is the second term.
  • \(-3x\) is the third term.
  • \(4\) is the fourth term.
Coefficients:
  • \(4\) is the coefficient of \(x^3y^2\).
  • \(2\) is the coefficient of \(x^2\).
  • \(-3\) is the coefficient of \(x\).