Question

Write the quadratic polomial whose sum of zeros is 1/3 and product of zeros is -2

Answer 1

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${ \huge{ \boxed{ \red{ \mathfrak{given = > }}}}} \\ \\ => \boxed{ \green{ \alpha + \beta = \frac{1}{3}}}\\ \\ { => \boxed{ \green{\alpha \beta = - 2}}}$

$\huge{ \boxed{ \mathfrak{ \purple{polynomial = > }}}}$

$=>\boxed{ \blue{ {x}^{2} ( \alpha + \beta )x + \alpha \beta }}$

$=>\blue{ {x}^{2} + ( \frac{1}{3}) x + ( - 2)} \\ \\ =>\blue{ {x}^{2} + \frac{1x}{3} - 2 } \\ \\ =>\blue{ \frac{3 {x}^{2} + x - 6 }{3} = 0} \\ \\ =>\boxed{ \green{3 {x}^{2} + x - 6 = 0}}$

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hops this may help you

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