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Mathematics
Camryn Sawyer
14 May, 13:10
X-√6 is a factor of x°4-36
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Nathen Golden
14 May, 15:44
0
(x² - 6) (x² + 6)
Step-by-step explanation:
Nope, x-√6 is a factor of x^4-36. Let solve the question by factorization method.
x^4 - (√6) ^4
x^4 - (√6) ^4
(x²) ² - (√6²) ^²
(x²) ² - (√6²) ^²
(x² - 6) (x² + 6)
Hence, the required factor forms of equation is (x² - 6) (x² + 6)
Therefore, x-√6 is not a factor of x^4-36.
Formula used while solving the problem:
1. a² - b² = (a + b) (a - b)
2. a^4 - b^4 = (a² + b²) (a² - b²)
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