Math, asked by bharathkumar72, 10 months ago

4. Find the cubic polynomial for the zeroes 4,-2 and
1/2​

Answers

Answered by Ckreshmi76
2

Answer:

Let , alpha = 4   beta = -2  and gama = 1/2

Sum of zeroes = alpha + beta + gama

                        = 4 - 2 + 1/2

                        = 2 + 1/2

                        = (4+1)/2

                        = 5/2

Product of zeroes = alpha x beta x gama

                              = 4 x -2 x 1/2

                              = 4 x -1

                              = -4

General form of cubic polynomial = x^3 - (sum of zeroes)x + (product of zeroes)

Required polynomial = x^3 - 5/2 -4

                                   = (2x^3 - 5 - 8)/2

                                   = (2x^3 - 13)/2

                                   = k [2x^3 - 13] , where k = 1/2

Polynomial = 2x^3 - 13

Hope this helps you......................................

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