An algebraic expression had different parts like, constants, terms, like terms, coefficients, and so on.
In this lesson, given an algebraic expression, we identify different parts as required.
For example, consider the following algebraic expression
6 + 4a + 9a + 10b
Identify the coefficient of p2 in the expression:
9q + 8p − 15p2 – 11r
The numeric part of a term is generally called the coefficient.
The term containing p2 is −15p2.
So, the coefficient of p2 in the term is −15.
Identify the like terms in the expression:
21x − 13y − 8x + 5y
The following are like terms because each term consists of variables, x, and a numeric coefficient.
The following are like terms because each term consists of variables, y, and a numeric coefficient.
Identify the constant term in the expression:
10x + 51y + 18z + 69
In an algebraic expression, the term with no variables is called the constant.
In given expression, the constant is obviously 69.