Question

The sum and product of the zeroes of a quadratic polynomial are -1/2 and -3 respectively. what is the quadaratic polynomial.​

Answer 1

Answer:

$\alpha + \beta = \frac{ - b}{a} = \frac{ - ( - 1)}{2} = \frac{1}{2} \\ \alpha \beta = \frac{c}{a} = -3 \\ \\ {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta \\ \\ {x}^{2} - \frac{1}{2} x - 3 \\ 2 {x}^{2} - x - 6$

Answer 2

Answer:

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