Question

Find a cubic polynomial with the sum of the product of it's zeroes taken two at a time and product of it's zeroes are 3 , -1/2 , 5/4 respectively

Answer 1

Answer:

x³-3x²-½x+5/4

Take LCM

consider the numerator only

That is required answer

Answer 2

Answer:

$4 {x}^{3} - 12 {x}^{2} - 2x - 5 = 0$

Step-by-step explanation:

${x}^{3} - 3 {x}^{2} - \frac{x}{2} - \frac{5}{4} = 0 \\ \\ taking \: lcm \\ 4 {x}^{3} - 12 {x}^{2} - 2x - 5 = 0$

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