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alexwheeler2 alexwheeler2
  • 30-01-2015
  • Mathematics
Answered

find a fourth degree polynomial equation with integer coefficients that has the given numbers and roots: 2i and 4-i

Verified Answer :

jamiesm jamiesm
  • 31-01-2015

first the roots are: 2i, 4-i and their pairs of -2 and 4+i
therefore the factors are x-2i, x+2i, x-4+i and x-4-i
times there using a method of your choice : (x-2i)(x+2i)(x-4+i)(x-4-i)
to get (x^4)-8(x^3)+21(x^2)-32x+68

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