Question

form polynomial with zeros 1/a and 1/b​

Answer 1

Answer:

hello

Step-by-step explanation:

let the zeroes of the unknow polynomial be "C" and "D"

C = 1/a

D = 1/b

Sum of zeroes = C + D

                         = 1/a + 1/b

                         = a+b / ab -------------------- i

Product of zeroes = C * D

                              = 1/a  ×  1/b

                            = 1 / ab --------------------- ii

Required polynomial = k [ x^2 - (sum of zeroes)x + product of zeroes]

                                    where k = constant

                                    = k [ x^2 - (a+b)x/ab + 1/ab ]

                                   = k = ab

                                   = abx^2 - (a+b)x + 1

Hence found :)