Question

find the quarditc polynomial , the sum and product of whose zeros are 2 and -3/2 respectively​

Answer 1

hope it will help you............

Answer 2

P(x)=

$x {}^{2} - ( \alpha + \beta )x \: + \alpha \beta = 0$

given that a+b = 2

and ab= -3/2

putting in equation

$x { }^{2} - 2x - \frac{3}{2} = 0$

multiply both side by 2 we get required equation

$2x {}^{2} - 4x - 3 = 0$

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