Horton Wagner
03/12/2023 · Senior High School
For the following expression, determine the number of terms in the polynomial, and name the coefficients of the terms. \( 2 x^{3}-x \)
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Step-by-step Solution
The expression \( 2x^{3} - x \) is a polynomial. To determine the number of terms and the coefficients, we can break it down as follows:
1. **Identify the terms**: The expression consists of two terms:
- The first term is \( 2x^{3} \).
- The second term is \( -x \).
2. **Count the number of terms**: There are 2 terms in the polynomial.
3. **Identify the coefficients**:
- The coefficient of the first term \( 2x^{3} \) is \( 2 \).
- The coefficient of the second term \( -x \) is \( -1 \) (since \( -x \) can be rewritten as \( -1 \cdot x^{1} \)).
In summary:
- The number of terms in the polynomial \( 2x^{3} - x \) is **2**.
- The coefficients of the terms are:
- For \( 2x^{3} \): **2**
- For \( -x \): **-1**.
Quick Answer
The polynomial \( 2x^{3} - x \) has 2 terms. The coefficients are 2 and -1.
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