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# Vieta's Formula

Vieta's formula relates the coefficients of polynomials to the sum and products of their roots. This can provide a shortcut to finding solutions in more complicated algebraic polynomials.

What is the product of roots of the quadratic equation

\[2 x^2 - 6 x + 36 = 0, \]

What are the sum of roots of the quadratic equation

\[ x^2 - 9 x + 15 = 0?\]

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