Question

find the quadratic polynomial whose product and sum of zeros is 4 - 5​

Answer 1

x^2-4x-5
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Answer 2

Answer:

$sum \: of \: zeros \: = \alpha + \beta \\ \frac{ - b}{a} = \frac{ - 5}{1} \\ product \: of \: zeros \: = \alpha \beta \\ \frac{c}{a} = \frac{4}{1} \\ so \: the \: required \: polynomil \: is \: \\ p(x) = x {}^{2} + 5x + 1$