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Home » \( x = \frac500.20 = 250 \) - go-checkin.com

\( x = \frac500.20 = 250 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 oxed{2, rac{2}{3}}

📌 An industrial hygienist is evaluating exposure levels to a new chemical in a factory, modeled by a polynomial \( h(x) = 2x^3 - 9x^2 + 12x - 4 \). Calculate the product of the non-zero roots of this polynomial.

📌 We use Vieta's formulas to find the product of the roots. For \( h(x) = 2x^3 - 9x^2 + 12x - 4 \), the product of all roots is \( -d/a = -(-4)/2 = 2 \). Assuming the roots \( r_1, r_2, r_3 \) include a non-zero root \( r_1 \) and potentially zero roots, we check if zero is a root by substituting \( x = 0 \). Since \( h(0) = -4

📌 eq 0 \), zero is not a root. Therefore, the product of all roots is the product of the non-zero roots, which is \( 2 \).

📌 These questions and solutions demonstrate various applications of algebraic concepts in real-world contexts, providing a rich learning experience.

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