Question

If the product of two zeroes of polynomial 2x³+3x²-5x-6is 3 , then find it's third zero.

Answer 1

LET f(x)=2x^3 + 3x^2 - 5x - 6

& the zeros are a,b&c

now ab=3 given.........1

but abc=-(-6)/2=6/2=3....2[product of zeros=-(constant term )/coeff of x^3]

now from 1 & 2

c=3/3=1= third zero