Question

What does it mean to say that a is a lower bound and b is an upper bound for the zeros of a polynomial?

Answer 1

In the context of polynomials, a lower bound for the zeros means that all the zeros of the polynomial are greater than or equal to the lower bound. An upper bound for the zeros means that all the zeros of the polynomial are less than or equal to the upper bound.

Step-by-step explanation:

In the context of polynomials, saying that a is a lower bound for the zeros means that all the zeros of the polynomial are greater than or equal to a. This implies that any value less than a cannot be a zero of the polynomial. On the other hand, saying that b is an upper bound for the zeros means that all the zeros of the polynomial are less than or equal to b. Therefore, any value greater than b cannot be a zero of the polynomial.