Question

Explain, in complete sentences, how you would factor 2x^8 + 44x^4 + 242.

Provide the factors.

Answer 1

2x^8 + 44x^4 + 242
Firstly, find the common factors. (which is 2)
2(x^8) + 2(22x^4) + 2(121)
Next, group the common factors together.
2 (x^8 + 22x^4 +121)
Now, see if you can further factorise the equation. ( we can for the x^8 and 22x^4, their common factors are x^4 )
2 (( x^4(x^4) + x^4(1)) +121)
2 (( x^4 (x^4 + 1)) + 121)
We can't further factorise the equation. Therefore, that is the answer.

Answer 2

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