Question

find the quadratic polynomial whose zeroes are -3and product is -10 hence find zero of polynomial ​

Answer 1

$Let \: \alpha \: and \: \beta \: are \: zeroes \:of \\a \: Quadratic \: polynomial .$

$It \: is \: given \: that , \alpha = -3$

$and \: product \: of \: zeroes = -10$

$\implies \alpha \times \beta = -10$

$\implies (-3) \times \beta = -10$

$\implies \beta = \frac{-10}{-3}$

$\implies \beta = \frac{10}{3}$

Therefore.,

$\red {Required \: Other \: zero } \green {= \frac{10}{3}}$

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