Question

What is a real number coefficient?

Answer 1

Hint: We explain the concept of real numbers here. A coefficient is any number put in front of a variable in an algebraic expression. This number, if it is a real number, it is called a real number coefficient. We will explain the concept of real numbers to clearly explain what real number coefficients are.

Complete step by step solution:
In order to answer this question, let us first explain what real numbers are. Real numbers can be rational or irrational numbers in the number system. This means that the real numbers are basically the numbers that can be represented on a real number line. A few examples for real numbers are 4, -18, 8.66, $\pi ,$ etc. On the other hand, we have imaginary numbers that deal with complex numbers. These imaginary numbers are not real numbers.
In general, real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Now we describe what a coefficient is. A coefficient is any number put in front of a variable in an algebraic expression. For the expression $3x,$ 3 is the coefficient. Real number coefficients are those numbers that are real numbers and are the coefficients of variables in an expression. For example, in the expression $\dfrac{1}{2}{{x}^{2}}+7x,$ $\dfrac{1}{2}$ and 7 are real number coefficients.
Hence, we have explained the concept of real number coefficients.

Note: We need to know the basics of the number system in mathematics in order to understand this concept of real numbers. We need to note that real numbers can be both positive and negative and exist on the number line.