Question

8. Find a cubic polynomial with the sum of its zeroes , sum of the products of its zeroes

taken two at a time and product of its zeroes as 2,-5 and -11 respectively.​

Answer 1

Here

$\alpha + \beta \times \gamma = 2$

$\alpha \beta \gamma = - 11$

$\alpha \beta + \beta \gamma + \gamma \alpha = - 5$

x³-(sum of the roots)x²+(sum of the product of the roots taken two at a time)x+(product of the roots)

Its the formula above

We know all the 3 valued so

$x {}^{3} - 2x {}^{2} + ( - 5)x + ( - 11)$

Solve it the answer is there

MARK AS BRAINLIST