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

February 22, 2026

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

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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
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