Question

6x4
Find the cubic polynomial with the sum, the sum
of the product of its zeroes taken two at a time
and the product of its zeroes as 3, -10 and -24
respectively​

Answer 1

Answer:

$k( {x} ^{3} - 3 {x}^{2} - 10x + 24 )$

Step-by-step explanation:

the cubic polynomial is given by

$k( {x}^{3} - ( \alpha + \beta + \gamma ) {x}^{2} + (\alpha \beta + \beta \gamma + \gamma \alpha )x - \alpha \beta \gamma )$

for zeroes

$\alpha \: and \: \\ \beta \: and\\ \gamma$