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Answer :
Final answer:
The factored form of the polynomial 12x^6 + 4x^4 + 20x^3 is 4x^3(3x^3 + x + 5).
Explanation:
To factor out the GCF (Greatest Common Factor) of the polynomial 12x6 + 4x4 + 20x3, we need to find the highest power of x that divides each term.
- The GCF of 12x6, 4x4, and 20x3 is 4x3. This means we can factor 4x3 out of each term.
- Dividing each term by 4x3, we get: 4x3(3x3 + x + 5)
Therefore, the factored form of the polynomial 12x6 + 4x4 + 20x3 is 4x3(3x3 + x + 5).
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