Question

find the rational roots of the polynomial f(x) = 2x³+3x²-11x-6

Answer 1

f(x)= (x-2)(x+3)(2x+1)
x = 2, -3 , -1/2

Answer 2

f(2)=16+12-22-6=0
f(x)=2x^3 - 4x^2 + 7x^2 - 14x + 3x - 6
=(x-2).(2x^2 + 7x + 2)
b^2-4ac= 49-8=41, is not a perfect sq. hence irrational
•°• only rational root = 2