factorize x4-3x2+2 answer
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19
x^4 - 3x² + 2
Let x² = y
therefore y² - 3y + 2
⇒ y² - 2y - y + 2
⇒ y(y-2) - 1(y-2)
⇒ (y-2) (y-1)
⇒ (x² - 2) (x² - 1)
(x² - (√2)²) (x² - 1²)
(x+√2) (x-√2) (x+1) (x-1) is the answer
Let x² = y
therefore y² - 3y + 2
⇒ y² - 2y - y + 2
⇒ y(y-2) - 1(y-2)
⇒ (y-2) (y-1)
⇒ (x² - 2) (x² - 1)
(x² - (√2)²) (x² - 1²)
(x+√2) (x-√2) (x+1) (x-1) is the answer
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11
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