Question

Find a quadratic polynomial whose are -4/5and1/3​

Answer 1

Answer:

$\alpha = \frac{ - 4}{5} \\ \beta = \frac{1}{3} \\ \alpha + \beta = \frac{ - b}{a} \\ = \frac{ - 4}{5} + \frac{1}{3} = \frac{ - 12 + 5}{15} \\ = \frac{ - 7}{15} = \frac{ -b}{a} \\ \alpha . \beta = \frac{c}{a} \\ = \frac{ - 4}{5} \times \frac{1}{3} = \frac{ - 4}{15} = \frac{c}{a}$

So a=15,b=7,c=-4

15x^2+7x-4 is the quadratic polynomial..

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