alexcaldwell666 alexcaldwell666
  • 29-10-2020
  • Mathematics
contestada

Factor the polynomial function over the complex numbers.



f(x)=x4−x3−2x−4



Enter your answer in the box.

f(x)=

Respuesta :

mhanifa
mhanifa mhanifa
  • 31-10-2020

Answer:

  • 2

Step-by-step explanation:

Given function

  • f(x)=x⁴−x³−2x−4

Factoring the polynomial

  • x⁴−x³−2x−4 =
  • (x⁴−4) − (x³+2x) =
  • (x² + 2)(x² - 2) - x(x² + 2) =
  • (x² + 2)(x² - x - 2) =
  • (x + i√2)(x - i√2)(x - 2)(x + 1)

As we see there are 2 complex factors

Answer Link
WhatIsShaPoppin
WhatIsShaPoppin WhatIsShaPoppin
  • 09-01-2022

Answer:

(x+1)(x-2)(x+i√2)(x-i√2)

Step-by-step explanation:

Ver imagen WhatIsShaPoppin
Answer Link

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