Explanation:
Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3)7x(y+3) has three factors: 77 , xx , and (y+3)(y+3) .
Coefficient: The numerical factor of a multiplication expression that contains a variable. Consider the expression in the figure above, 2x+4y−92x+4y−9 . In the first term, 2x2x , the coefficient is 22 : in the second term, 4y4y , the coefficient is 44 .
Constant: A number that cannot change its value. In the expression 2x+4y−92x+4y−9 , the term 99 is a constant.
Like Terms: Terms that contain the same variables such as 2m2m , 6m6m or 3xy3xy and 7xy7xy . If an expression has more than one constant terms, those are also like terms.