The product of the roots of z^2 - (α+β) z + αβ = 0 is:

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Multiple Choice

The product of the roots of z^2 - (α+β) z + αβ = 0 is:

For a monic quadratic, the product of the roots is the constant term. Here the constant term is αβ, so the product of the roots is αβ. You can also see this by factoring: z^2 - (α+β)z + αβ = (z-α)(z-β), so the roots are α and β, whose product is αβ.

For a monic quadratic, the product of the roots is the constant term. Here the constant term is αβ, so the product of the roots is αβ. You can also see this by factoring: z^2 - (α+β)z + αβ = (z-α)(z-β), so the roots are α and β, whose product is αβ.

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