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Calculate the power $2^6$
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$\frac{x^6-1\cdot 64}{x-1}$
Learn how to solve integral calculus problems step by step online. Factor by completing the square (x^6-2^6)/(x-1). Calculate the power 2^6. Multiply -1 times 64. We can factor the polynomial x^6-64 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals -64. Next, list all divisors of the leading coefficient a_n, which equals 1.