Question

Factor the polynomial function over the complex numbers.



f(x)=x4−x3−2x−4



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f(x)=

Answer 1

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 2

Answer:

(x+1)(x-2)(x+i√2)(x-i√2)

Step-by-step explanation: