Question

Identify the numerical coefficients of terms (other than constants) in the following expressions: $-p^2{q}^2+7pq$

Answer 1

Identify the numerical coefficients of the terms

The numerical coefficient of a term is the numerical factor of the term. It is a constant in the expression.

Given expression is $-p^2{q}^2+7pq$.

The terms (other than the constant) in the expression are: $-p^2{q}^2$ and $7pq$.

Their numerical coefficients are:

$$\begin{gathered} -p^2{q}^2\to -1 \\ 7pq\to 7 \end{gathered}$$

Therefore, the numerical coefficients of the terms $-p^2{q}^2$ and $7pq$ are $-1$ and $7$ respectively.

Note:

When the coefficient is $-1$, the digit is omitted in writing and the sign is placed in front of the term.