Question

Which of the below algebraic expression does not contain a constant term?

• A. $3x+5$
• B. $4x^2+6x$

Answer 1

The correct option is B $4x^2+6x$

$\underset{–}{\text{Constants:}}$
A constant in an algebraic expression involves only numbers. We call it constant because the respective term has always the same value across the expression.

Let's have a look at each of the given expressions one-by-one.

$\bullet$ (a.) $\underset{–}{3x+5:}$
In this expression, $x$ is a variable, hence, the first term $3x$ is also a variable. But the second term $5$ is the constant.

$\bullet$ (b.) $\underset{–}{4x^2+6x:}$
In this expression, both the terms $4x^2$ and $6x$ vary with the variable $x$. Hence, the expression does not contain any constant term.

As a result, no constant term appears in the algebraic expression in option (b).