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boyakko [2]
3 years ago
13

PLEASE HELP

Mathematics
2 answers:
Aliun [14]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

(x^4-2) (x^4 -1)


Discussion:


Let u = x^4, then

x^8 - 3x^4 + 2

= u^2 - 3u + 2

= (u -2) ( u -1)

= (x^4-2) (x^4 -1)



Thank you,

MrB

user100 [1]3 years ago
5 0

Answer:  (x - 1)(x + 1)(x² + 1)(x⁴ - 2)

<u>Step-by-step explanation:</u>

Given: x⁸ - 3x⁴ + 2

Let u = x⁴

then we get: u² - 3u + 2

Factor: (u - 1)(u - 2)

Substitute (replace u): (x⁴ - 1)(x⁴ - 2)    <em>repeat these steps for x⁴ - 1</em>  

***********************************************

x⁴ - 1

Let u = x²

then we get: u² - 1

Factor: (u - 1)(u + 1)

Substitute (replace u): (x² - 1)(x² + 1)   <em>       factor x² - 1</em>

<em>*</em>***********************************************

x² - 1

Factor: (x - 1)(x + 1)


Next, put all the factors together.  <em>You should have 8 x's (degree of 8)</em>

(x⁴ - 2)(x² + 1) (x - 1)(x + 1)

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