X-√6 is a factor of x°4-36

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

(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

(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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