Question

write a quadratic polynomial whose zeros are -5,-7​

Answer 1

Answer:

$let \: \alpha \: and \: \beta \: are \: the \: zeros \: of \: a \: \\ quadratic \: polynomial \: p(x) \\ sum \:o f \: \: zeros \: = \alpha + \beta \\ \frac{ - b}{a} = \alpha + \beta \\ \frac{ - b}{a} = - 5 - 7 = - 12\\ \\ product \: of \: zeros \: = \alpha \beta \\ \frac{c}{a} = - 5 \times( - 7) = 35 \\ p(x) = x {}^{2} - 12x + 35$

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