Question

Find the integral roots of the polynomial f(x) = x³ +6x² +11x +6

Answer 1

We have

f(x) = x³ +6x² +11x +6

Clearly, f (x) is a polynomial with integer coefficient and the coefficient of the highest degree term i.e., the leading coefficients is 1. 

Therefore, integer roots of f(x) are limited to the integer factors of 6, which are 

+-1, +-2, +-3, +-6 

We observe that