find the quadratic polynomial whose roots are 3+√5and,3-√5 ​

Question

find the quadratic polynomial whose roots are 3+√5and,3-√5

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Faith 1 month 2021-08-18T19:18:11+00:00 1 Answer 0 views 0

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    2021-08-18T19:19:20+00:00

    Answer:

    Step-by-step explanation:

    x = 3+√5 , 3-√5

    Sum of the zeros of the polynomial  = 3+√5 + 3-√5

                                                                 =6

    Product of the zeroes of the polynomial  = (3+√5)(3-√5)

                                                                          =9-5 = 4

    Formula for quadratic equation =>

    =k[x²-x(Sum of zeros of the  polynomial)+(Product of zeroes of the     polynomial)]                                {here k is some constant}

    =k[x² – x(6) + (4)]

    =k[x²-6x +4]

    So, x² – 6x +4 is the quadratic equation

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