Question

choose the correct answer.
when you multiply a polynomial of degree two by a polynomial of degree four, what is the degree of the product?

a. 2 \t\tc. 6
b. 4 \t\td. 8

Explanation:

Step1: Recall the rule for multiplying polynomials

When multiplying two polynomials, the degree of the product is the sum of the degrees of the two polynomials.

Step2: Identify the degrees of the given polynomials

One polynomial has a degree of 2, and the other has a degree of 4.

Step3: Calculate the sum of the degrees

To find the degree of the product, we add the degrees of the two polynomials: \(2 + 4 = 6\).

Answer:

c. 6