Question

find the cubic polynomial with the sum, Sum of the product of its zeros taken two at a time, and the product of its zeros as 5, - 2 and minus 24 respectively​

Answer 1

Hope this helps you. .

THANK YOU. .

Answer 2

Required cubic polynomial

$k( {x}^{3} - (sum \: of \: zeros) {x}^{2} + (sum \: of \: the \: product \: of \: zeros \: taken \: two \: at \: a \: time \: )x - (product \: of \: zeros) \\ = k( {x}^{3} - 5 {x}^{2} + ( - 2)x - 24 \: ) \\ = k( {x}^{3} - 5 {x}^{2} - 2x - 24 \: )$

where k is any real number