shameemah2002 shameemah2002
  • 25-06-2017
  • Mathematics
contestada

Expand f(x) = (x – (2 + i))(x – (2 – i))(x – 5)

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Panoyin
Panoyin Panoyin
  • 25-06-2017

f(x) = (x - (2 + i))(x - (2 - i))(x - 5)

f(x) = (x - 2 - i)(x - 2 + i)(x - 5)

f(x) = (x(x - 2 + i) - 2(x - 2 + i) - i(x - 2 + i))(x - 5)

f(x) = ((x2 - 2x + ix - 2x + 4 - 2i - ix + 2i - i2)(x - 5)

f(x) = (x2 - 4x + 4 + 1)(x - 5)

f(x) = (x2 - 4x + 5)(x - 5)

f(x) = x(x2 - 4x + 5) - 5(x2 - 4x + 5)

f(x) = x3 - 4x2 + 5x - 5x2 + 20x - 25

f(x) = x3 - 9x2 + 25x - 25

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kirpitts
kirpitts kirpitts
  • 11-01-2020

Answer:

f(x) = (x – (2 + i))(x – (2 – i))(x – 5)

Step-by-step explanation:

Answer Link

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