Question

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

• A. 2
• B. 6
• C. 4
• D. 3

Hint:

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

Answer 1

The Correct Option is B

The degree of a product of polynomials 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. Thus, the degree of the product is: \[ \text{Degree of product} = 2 + 4 = 6. \] Thus, the correct answer is \( \boxed{6} \).