anonymous
  • anonymous
Which polynomial of least degree has the roots 1, 2i
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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okdutchman7
  • okdutchman7
You just have to add them together.
okdutchman7
  • okdutchman7
And make it a polynomial
okdutchman7
  • okdutchman7
1 + 2i

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hartnn
  • hartnn
to get a real co-efficient polynomial, we need to have conjugate roots! so if 2i is one if the root, one more root must be -2i so 3 roots, means the least degree will be 3. 3 roots are : 1, 2i, -2i if 'a' is a root, (x-a) is a factor!
okdutchman7
  • okdutchman7
Do you understand?
hartnn
  • hartnn
so if 1 is the root, one of the factor is (x-1)
hartnn
  • hartnn
when 2i is the root, one of the factor is (x-2i) what about, when -2i is the root?

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