Question

Find a quadratic polynomial, the sum and product of whose zeroes are -3 and 5/2
respectively.​

Answer 1

Answer:

$\alpha + \beta = \frac{ - b}{a} \\ \alpha \beta = \frac{c}{a}$

$\frac{ - b}{a} = -3 \: or \: \frac{ - 6}{2} \\ \frac{c}{a} = \frac{5}{2}$

$a = 2 \\ b = 6 \\ c = 5$

Polynomial is

$2 {x}^{2} + 6x + 5 = 0$

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