Write a quadratic polynomial, sum of whose zeroes is 2/3 and product is 5.
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1. Answer:

   3 {x}^{2} – 2x + 5 = 0

   Step-by-step explanation:

   Let \apha and \beta be the zeroes of the quadratic polynomial

   Given = sum of the zeroes = 2/3

   product of its zeroes = 5

   We know that,

   [tex] {x}^{2} – ( \alpha + \beta )x + ( \alpha \times \beta )[/tex]

   [tex] {x}^{2} – \frac{2}{3}x + 5[/tex]

   [tex]3 {x}^{2} – 2x + 5 = 0[/tex]

   Hence the 3 {x}^{2} – 2x + 5 = 0 is the required quadratic equation.

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