Question

What is the degree of the polynomial \( (3x^2 - 7x + 2)(2x^4 + 3x^3 - 5x + 2) \)?

• A. \( 2 \)
• B. \( 6 \)
• C. \( 4 \)
• D. \( 3 \)

Hint:

The degree of a product of polynomials is the sum of their degrees.

Answer 1

The Correct Option is B

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 \( 4 \).
\[ \text{Degree} = 2 + 4 = 6. \]