Question

How many complex zeros does the polynomial function y = –2x^3 – 5x^2 + 7x – 1 have?

A. Zero complex zeros
B. One complex zero
C. Two complex zeros
D. Three complex zeros

Answer 1

The polynomial function y = –2x³ – 5x² + 7x – 1 has D) three complex zeros.

Step-by-step explanation:

The polynomial function y = –2x³ – 5x² + 7x – 1 has three complex zeros, as indicated by the degree of the polynomial. In this case, the degree of the polynomial is 3, so the number of zeros, including both real and complex zeros, is equal to the degree of the polynomial.

Since a polynomial of degree n can have at most n zeros, we can conclude that this polynomial has three complex zeros.

To find the complex zeros, we can use synthetic division or factoring to find the real zeros, and then apply the quadratic formula to find the complex zeros.

However, the specific values of the complex zeros cannot be determined without further information about the polynomial.