Question

Given: x³ - 6x² + 11x -6 = 0,what is the product of the roots. help:)​

Answer 1

general equation of cubic polynomial is :

• $a {x}^{3} + b {x}^{2} + cx + d = 0$

And we know the product of its roots is equal to

• $\dfrac{ - d}{a}$

by equating the given equation with general equation,

we get :

• a = 1

• d = -6

therfore, the product of their roots :

• $\dfrac{ - d}{a}$

• $\dfrac {- ( - 6)}{1}$

• $6$

Answer = 6

i hope it helped.....