Question

mohan,gopi and ram donates rs 1, 2, 3 to poor students of their class. find a cubic polynomial whose zeros are 1, 2, 3.

Answer 1

Given zeroes of the cubic polynomila re 3, 5 and −2.
Hence the cubic polynomial = (x − 3)(x − 5)(x + 2)
                                         = {x2 − 5x − 3x + 15)(x + 2)  
                                         = {x2 − 8x + 15)(x + 2)  
                                         = {x3 + 2x2 − 8x2 − 16x + 15x + 30)  
                                         = {x3  − 6x2 − x + 30)