What are the roots of the polynomial equation? (2x-1) (x-8) (x+1) = 0

The roots are x = - 1, 1/2 and 8.

Step-by-step explanation:

The roots of the polynomial, also called the zeros, solutions or x-intercepts, are the solutions to its factors. The factors of this polynomial is (2x-1) and (x-8) and (x+1). Set each factor equal to 0 and solve for x. The solutions for x are the roots.

(2x-1) = 0 so x = 1/2

(x-8) = 0 so x = 8

(x+1) = 0 so x = - 1

The roots are x = - 1, 1/2 and 8.