Question

Find all the zeroes of the polynomial x3 +3x2 - 2x - 6 if two of its zeroes are - root 2 and - root 2

Answer 1

p(x)= x^3+3x^2-2x-6

=x^2(x-3) +2(x-3)

=(x^2+2) (x-3)

= (x-√2) (x+√2) (x-3)