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

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Answer:

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

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.

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