Question

It is given that –1 is one of the zeroes of the polynomial x³ + 2x² – 11x – 12. Find all the zeroes of the given polynomial. 

Answer 1

Let f(x) = x³ + 2x² – 11x – 12 

Since – 1 is a zero of f(x), (x+1) is a factor of f(x). 

On dividing f(x) by (x+1), we get