# What are the coefficients in the expression 6p^2 + 4p?

Jun 3, 2018

Definition of coefficient: A number used to multiply a variable.

In the expression in the problem the variables are:

$\textcolor{b l u e}{p}$ and $\textcolor{b l u e}{{p}^{2}}$

Therefore, the coefficients are:

$\textcolor{red}{6}$ and $\textcolor{red}{4}$

Jun 3, 2018

There are different types of coefficients,

#### Explanation:

There are different types of coefficients.

In $6 {p}^{2} + 4 p$

The numerical coefficient is the number part of the term.

The numerical coefficients are $6 \mathmr{and} 4$

The litteral coefficients are the variable parts of a term.

The litteral coefficients are ${p}^{2} + p$

If we are referring to a specific number and/or variable, then the coefficient consists of the factors which are 'with' that factor.

The coefficient of $p$ would be given as:

$6 p + 4 \text{ } \rightarrow$ think of it as $p \times \left(6 p + 4\right)$

The coefficient of ${p}^{2}$ would be:

$6 + \frac{4}{p} \text{ } \rightarrow$ thinl of it as ${p}^{2} \times \left(6 + \frac{4}{p}\right)$