Correct answer only ! factor the polynomial function over the complex numbers.

(x + 1)(x - 2)(x - i√2)(x + i√2)

Step-by-step explanation:

f(x) = x⁴ - x³ - 2x - 4

Possible rational roots are: ±1, ±2, ±4

Use synthetic division to find one of the roots.  If the remainder is zero, then it is a root:

-1    |    1    -1    0    -2    -4

     |    ↓    -1    2    -2    4  

          1    -2    2    -4    0  ← remainder is zero so (x + 1) is a factor

Use synthetic division on the factored polynomial to find one another one of the roots.

2    |    1    -2    2    -4

     |    ↓     2    0    4  

          1     0    2    0 ← remainder is zero so (x - 2) is a factor

Use sum & difference of a square on the factored polynomial:

  x² + 2

= x² - (-2)

= (x - i√2)(x + i√2)

the answer on e2020 is

10

4/5

3/5

4/3

step-by-step explanation:

here is a big fat