Question

Find the quadratic polynomial, the sum and product of whose zeroes are respectively. 1) under root 2 and -3/2

Answer 1

Answer:

$\alpha = \sqrt{2} \: \: \: \: \: \: \: \beta = \frac{ - 3}{2} \\ \alpha + \beta = \sqrt{2} - \frac{3}{2} \\ = \frac{2 \sqrt{2} - 3}{2} \\ \alpha \times \beta = \frac{ - 3 \sqrt{2} }{2} \\ poly = {x}^{2} - \frac{2 \sqrt{2 } - 3}{2}x - \frac{3 \sqrt{2} }{2 } \\ 2 {x}^{2} - (2 \sqrt{2} - 3)x - 3 \sqrt{2}$

Step-by-step explanation:

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