Question

Identify the terms, their coefficients for each of the following expressions.

$5xy{z}^2-3zy$

Answer 1

Recognize the terms and coefficient:

1. In an algebraic expression, the letters indicate the variables and the numerical factors are called the coefficients.
2. Terms are the product, quotient, or both, of one or more variables and numerical coefficient, with at least either one of them present.
3. Terms are separated by addition or subtraction.
4. The signs in front of the terms are part of the terms.

The given expression is, $5xy{z}^2-3zy$
Here, the terms are: $5xy{z}^2$ and $-3zy$.
Their numerical coefficients are $5$ and $-3$.

Therefore, the terms in the expression are $5xy{z}^2$ and $-3zy$ and their numerical coefficients are $5$ and $-3$.