Question

find the cubic polynomial with zeros Alpha beta and gamma​

Answer 1

Step-by-step explanation:

let gamma is ¥

Given, zeros Alpha beta and gamma

x = α , x = β , x = ¥

=> polynomial is (x - α ) ( x - β ) ( x - ¥ )

= ( x² - αx - βx + αβ ) ( x - ¥ )

= x³ - αx² - βx² + αβx - ¥x² + α¥x + β¥x - αβ¥

= x³ - (α+β+¥) x² + (αβ+β¥+¥α) x - αβ¥