Question

what is the degree of the following polynomial that has 4 real roots and 2 complex roots? 4 8 2 6

Explanation:

Step1: Recall polynomial degree rule

A polynomial's degree equals the total number of its roots (counting multiplicities), and complex roots of polynomials with real coefficients come in conjugate pairs (so each pair counts as 2 roots).

Step2: Sum real and complex roots

Total roots = Real roots + Complex roots = $4 + 2 = 6$
This total equals the polynomial's degree.

Answer:

6