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Degree of cubic polynomial in two terms ...

Degree of cubic polynomial in two terms is :

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
To determine the degree of a cubic polynomial with two terms, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definition of a Polynomial**: A polynomial is an expression made up of variables raised to whole number powers and coefficients. 2. **Identify the Degree of a Polynomial**: The degree of a polynomial is defined as the highest power of the variable in the polynomial. For example, in the polynomial \( p(x) = x^5 + 2 \), the degree is 5 because the highest exponent of \( x \) is 5. 3. **Define a Cubic Polynomial**: A cubic polynomial is a polynomial of degree 3. This means that the highest power of the variable \( x \) in a cubic polynomial is 3. 4. **Construct a Cubic Polynomial with Two Terms**: A cubic polynomial can have multiple terms, but it can also have just two terms. For example, we can consider the polynomial \( f(x) = x^3 + 2x^2 \). 5. **Determine the Degree of the Example Polynomial**: In the polynomial \( f(x) = x^3 + 2x^2 \), the highest power of \( x \) is 3 (from the term \( x^3 \)). 6. **Conclusion**: Therefore, the degree of a cubic polynomial, regardless of the number of terms, is always 3. ### Final Answer: The degree of a cubic polynomial in two terms is **3**. ---
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