Question

Identify the term, their coefficients for the following expression:

 3x²y² − 5x²y²z² + z²

Answer 1

Definitions:
A term in an algebraic expression can be a constant, a variable or a product of constants and variables separated by the signs of addition (+) or subtraction (\[-\] ) . Examples: 27, x, xyz, \[\frac{1}{2} x^2 yz\] etc.
The number factor of the term is called its coefficient.

The expression 

\[3 x^2 y^2 - 5 x^2 y^2 z^2 + z^2\] consists of three terms , i.e.,​  

\[3 x^2 y^2\], \[- 5 x^2 y^2 z^2\] and  \[z^2\].

The coefficient of

\[3 x^2 y^2\] is 3. The coefficient of \[- 5 x^2 y^2 z^2\] is \[- 5\] and the coefficient of \[z^2\] is 1.