Question

What is the numerical coefficient of the variable and the constant term of \[6x + 5\]?

Answer 1

Hint: Here the question is related to algebraic expression topic, the algebraic expression is a combination of the variable and the constants. Based on that we are writing the numerical coefficient and the constant term of the given polynomial.

Complete step by step solution:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. In the algebraic expression we have 3 different kinds namely, monomial expression, binomial expression and polynomial expression.
In algebraic expression the numerical coefficient is the coefficient of the variable term and the constant term will be numerical term and the constant term doesn’t any variable to it
Now consider the given algebraic expression
\[6x + 5\]
The given algebraic expression will comes under the binomial expression
A numerical coefficient is a constant multiplier of the variables in a term. On considering the algebraic expression which is present in the question \[6x + 5\]. The numerical coefficient will be 6.
In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. On considering the algebraic expression which is present in the question \[6x + 5\]. The constant of \[6x + 5\] will be 5.
Therefore the numerical coefficient of the variable and the constant term of \[6x + 5\] is 6 and 5 respectively.

Note: The algebraic expression is a combination of both the variables and the constants term. The variables are represented by the alphabets and the constants term are represented by the numerical form. To solve this kind of question we have to know the actual definition of the algebraic expression.