Answer :
Final answer:
To factor out the GCF from the polynomial 63x^(7) + 81x^(8) - 45x^(6) + 18, the GCF is 9x^6, resulting in the factored form 9x^6(7x + 9x^2 - 5 + 2/9).
Explanation:
To factor out the GCF from the polynomial 63x^(7) + 81x^(8) - 45x^(6) + 18, we need to find the greatest common factor of the coefficients and the variable exponents. The GCF in this case is 9x^6, as it can be evenly divided into all the terms. So, we can rewrite the polynomial as 9x^6(7x + 9x^2 - 5 + 2/9).
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