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Construct a polynomial with integer coefficients given solutions of the polynomial: 2+7i

Sagot :

HayabusaBrainlyidn

>> Answer

________

[tex] \: [/tex]

  • Step by step :

2 + 7 = ...

= 9

Integer in the picture!

View image HayabusaBrainly
AlgebraicAardvarkidn

If 2+7i is a solution, so is 2-7i, so (x-(2+7i)) and (x-(2-7i)) must be factors of the polynomial:

   (x - (2+7i))(x - (2-7i)) = x^2 - 4x + 53

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