Answer:
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)
