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23 votes
Factor the polynomial completely.
x^4 – 256

User ScottL
by
5.8k points

1 Answer

5 votes

Answer:

(x²+16)(X+4)(x-4)

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)

User Ian Nato
by
6.7k points
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