Question

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Answer 1

Hey!!

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We have

=> Sum of zeros = 3(S)

=> Product of zeros taken two at a time = -1/2(Q)

=> Product of zeros = 5/4 (P)

Thus Required cubic polynomial

=> k (x³ - Sx² + Qx - P)

$= > k( {x}^{3} - 3 {x}^{2} - \frac{x}{2} - \frac{5}{4} )$

$= > \frac{1}{4} (4 {x}^{3} - 12 {x}^{2} - 2x - 5)$

Thus the required cubic Polynomial is 4x³ - 12x² - 2x - 5

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Hope this helps ✌️