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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