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find the zeroes of 3root2 x^2 + 13x + 6root2 and verify the relation between the zeroes and coefficients of the polynomial

$3 \sqrt{2} x^{2} + 13 x + 6 \sqrt{2} = (3 x + 2 \sqrt{2}) . (\sqrt{2} x + 3) f o r r o o t s, p u t, f (x) = 0 \Rightarrow x = \frac{- 2 \sqrt{2}}{3}, \frac{- 3}{\sqrt{2}} α = \frac{- 2 \sqrt{2}}{3} a n d β = \frac{- 3}{\sqrt{2}} α + β = \frac{- c o - e f f i c i e n t o f x}{c o - e f f i c i e n t o f x^{2}} = \frac{- 13}{3 \sqrt{2}} α β = \frac{c o n \tan t t e r m}{c o - e f f i c i e n t o f x^{2}} = \frac{6}{3} = 2$

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