Question

If the product of two zeroes of polynomial p(x)=x*3-6x*2+11x-6 is 3, then find its third zero.

Answer 1

Let p,q,r be the zeros of a cubic equation: ax^3 + bx^2 + cx + d
we know that product of zeros:
p*q*r= - d/a (1)

Given equation:
p(x)=x*3-6x*2+11x-6

d= -6
a =1
From (1)

3*r = 6/1
r = 2 Ans