Numerical factor in any term of a polynomial is called _______ of the term.

Options

A. variable
B. term
C. coefficient
D. constant

Answer

To answer the question: "Numerical factor in any term of a polynomial is called _______ of the term," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Term**:
- A polynomial consists of terms that can include numbers (coefficients), variables, and exponents. Each term can be written in the form of a coefficient multiplied by a variable raised to a power.

2. **Identifying the Numerical Factor**:
- In a term like \(6x^2\), the number \(6\) is the numerical factor. It tells us how many times the variable \(x^2\) is being multiplied.

3. **Defining the Coefficient**:
- The numerical factor in any term of a polynomial is specifically referred to as the "coefficient" of that term. For example, in the polynomial \(6x^2 + 5x + 1\):
- The coefficient of \(x^2\) is \(6\).
- The coefficient of \(x\) is \(5\).
- The constant term \(1\) does not have a variable, but it can also be considered as having a coefficient of \(1\).

4. **Final Answer**:
- Therefore, the blank can be filled with the word "coefficient".

### Complete Sentence:
Numerical factor in any term of a polynomial is called **coefficient** of the term.

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