find the quadratic polynomial wch with tje given numbers as the sum and product of its zero respectively 5,2by3​

find the quadratic polynomial wch with tje given numbers as the sum and product of its zero respectively 5,2by3​

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  1. [tex]let \: the \: zeroes \: be \: \alpha \: and \: \beta . \\acc \: to \: ques \: , \: \alpha + \beta = 5 \: and \: \alpha \beta = \frac{2}{3} \\ so \: polynomial \: is \: {x}^{2} – ( \alpha + \beta )x + \alpha \beta = 0 \\ = > {x}^{2} – 5x + \frac{5}{2} = 0 \\ = > 2 {x}^{2} – 10x + 5 = 0[/tex]

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