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Answer :
Final answer:
The GCF of the polynomial is x⁵u³. Dividing each term by the GCF gives us 20xu + 12u² + 4.
Explanation:
To factor out the GCF (Greatest Common Factor) of the polynomial, we need to find the highest power of each variable that appears in all terms. In this case, the highest power of x that appears in all terms is x⁵, and the highest power of u is u³. Therefore, the GCF is x⁵u³.
Next, we divide each term by the GCF:
- 20x⁶u⁴ ÷ x⁵u³ = 20x^(6-5)u^(4-3) = 20xu
- 12x⁵u⁵ ÷ x⁵u³ = 12x^(5-5)u^(5-3) = 12u²
- 4x⁵u³ ÷ x⁵u³ = 4x^(5-5)u^(3-3) = 4
Putting it all together, the factored form of the polynomial is: 20xu + 12u² + 4.
Learn more about Factoring polynomials here:
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