austinlovel3 austinlovel3
  • 19-02-2021
  • Mathematics
contestada

Factor the polynomial completely.
x^4 – 256

Respuesta :

harguna
harguna harguna
  • 19-02-2021

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

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