Question:
What is the degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \)?
What is the degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \)?
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The degree of a product of polynomials is the sum of their degrees.
Updated On: Oct 27, 2025
- \( 2 \)
- \( 6 \)
- \( 4 \)
- \( 3 \)
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The Correct Option is B
Solution and Explanation
The degree of a polynomial product is the sum of the degrees of the individual polynomials.
- The degree of \( 3x^2 - 7x + 2 \) is \( 2 \).
- The degree of \( 2x^4 + 3x^3 - 5x + 2 \) is \( 4 \).
\[ \text{Degree} = 2 + 4 = 6. \]
- The degree of \( 3x^2 - 7x + 2 \) is \( 2 \).
- The degree of \( 2x^4 + 3x^3 - 5x + 2 \) is \( 4 \).
\[ \text{Degree} = 2 + 4 = 6. \]
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