Question

Identify the like terms in the following algebraic expressions and write the numeric coefficient of each like term.

$x{y}^{2}z,4y^{2}xz,-x{y}^{3}z,-5x{y}^{2}z$

Answer 1

Step 1: Finding like terms

Two or more terms with identical variables with the same powers are called like terms.

$\text{So ,like terms are}x{y}^{2}z,4y^{2}xz,-5x{y}^{2}z$

Step 2: Finding the coefficient of each like term

A constant factor is called the numerical coefficient of the algebraic term

The numerical Coefficient of a term $x{y}^{2}z$ is $1$

The numerical Coefficient of a term $4y^{2}xz$ is $4$

The numerical Coefficient of a term $-5x{y}^{2}z$ is $-5$.