Question

If 3,-1and-3 are the zeros if the polynomial then find the cubic polynomial

Answer 1

Given zeroes of the cubic polynomial are 3, -1 and −3.

Hence the cubic polynomial = (x − 3) (x + 1) (x + 3)

                                        = (x2 + x – 3x – 2) (x+ 3)

                                        = (x2 − 2x - 2) (x + 3)  

                                        = (x3 + 3x2 − 2x2 − 6x - 2x - 6)  

                                        = (x3 + x2 − 8x - 6)