Question

the sum and product of roots of a quadratic polynomial are -2/3 and -7/5 respectively. write the polynomial​

Answer 1

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {\downarrow\downarrow\downarrow\downarrow }$

$\tt \blue{x²+\frac{ 2} {3}x +-\frac{ -7} {5} =0}$

$\huge \underbrace \mathfrak \red{\bigstar Explanation}$

${ \bold{ \underline{\purple{\underline{\large{Given : - }}}}}}$

$\tt \large {\alpha + \beta = \frac{ -2} {3}}$

$\tt \large {\alpha × \beta = \frac{ -7} {5}}$

We, know that

$\tt x²-(\alpha + \beta)x + \alpha × \beta =0$

$\tt x²-(\frac{ -2} {3})x + (\frac{ -7} {5} )=0$

$\tt x²+\frac{ 2} {3}x +-\frac{ -7} {5} =0$

Hope, It will help you

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