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Factor the polynomial completely. x^4 – 256
Question
Factor the polynomial completely.
x^4 – 256
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Mathematics
3 years
2021-07-18T18:12:44+00:00
2021-07-18T18:12:44+00:00 1 Answers
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Answers ( )
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)