eggbreadplait eggbreadplait

07-11-2021
Mathematics

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

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HayabusaBrainly HayabusaBrainly

07-11-2021

>> Answer

________

[tex] \: [/tex]

Step by step :

2 + 7 = ...

= 9

Integer in the picture!

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AlgebraicAardvark AlgebraicAardvark

07-11-2021

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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