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Answer :
Final answer:
The Greatest Common Factor (GCF) of the polynomial 12x^(6) + 4x^(4) + 20x^(3) is 4x^(3). When we factor out the GCF, we get: 4x^(3)(3x^(3) + x + 5).
Explanation:
To factor out the Greatest Common Factor (GCF) from the given polynomial 12x^(6) + 4x^(4) + 20x^(3), we first need to identify the GCF. The GCF of the coefficients 12, 4, and 20 is 4, and the least power of x that appears in every term is x^(3). Thus, the GCF is 4x^(3).
We then divide each term of the polynomial by the GCF. The result would be 4x^(3)(3x^(3) + x + 5).
So, the polynomial 12x^(6) + 4x^(4) + 20x^(3) factored out by the GCF is 4x^(3)(3x^(3) + x + 5).
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