Literal coefficient

Definition

A multiplying factor or product of group of multiplicative factors in terms of letters in an algebraic term is called a literal coefficient.

Examples

$(1)$ $\,\,\, 7a$

$a$ is a letter and a multiplicative factor in the term $7a$. Therefore, the letter $a$ is called as a literal coefficient of $7$ in alternative term $7a$.

$(2)$ $\,\,\, 2xy$

In the term $2xy$,

  1. $x$ is letter and a multiplying factor. So, $x$ is called as literal coefficient of $2y$.
  2. $y$ is also a letter and another multiplicative factor. Therefore, $y$ is called as a literal coefficient of $2x$.
  3. $xy$ is a product of group of multiplicative factors. Hence, $xy$ is called as a literal coefficient of $2$.

$(3)$ $\,\,\, -p^{\displaystyle 2}qr$

The algebraic term $-p^{\displaystyle 2}qr$ is $-1p^{\displaystyle 2}qr$. In this term,

  1. $p^{\displaystyle 2}$ is the literal coefficient of $-qr$
  2. $p^{\displaystyle 2}q$ is the literal coefficient of $–r$
  3. $p^{\displaystyle 2}r$ is the literal coefficient of $–q$
  4. $p^{\displaystyle 2}qr$ is the literal coefficient of $-1$
  5. $p$ is the literal coefficient of $-pqr$
  6. $pq$ is the literal coefficient of $-pr$
  7. $pr$ is the literal coefficient of $-pq$
  8. $pqr$ is the literal coefficient of $-p$
  9. $q$ is the literal coefficient of $-p^{\displaystyle 2}r$
  10. $qr$ is the literal coefficient of $-p^{\displaystyle 2}$
  11. $r$ is the literal coefficient of $-p^{\displaystyle 2}q$
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