Question
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factor. If the greatest common factor is 1, just retype the polynomial. \( 12 s^{4}+24 s^{3} \)

Ask by Patel Rojas. in the United States
Feb 03,2025

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Answer

The factored form of the polynomial \( 12s^{4} + 24s^{3} \) is \( 12s^{3}(s + 2) \).

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The Deep Dive

The greatest common factor (GCF) of \( 12s^{4} + 24s^{3} \) is \( 12s^{3} \). Factoring this out gives you \( 12s^{3}(s + 2) \). This means \( 12s^{4} + 24s^{3} \) can be simplified into a more manageable form, highlighting the structure of your polynomial. When factoring polynomials, always look for common factors first! A common mistake is to overlook smaller coefficients or variable powers. Set a checklist: identify the GCF, factor it out, and see if there's anything left to factor further. This approach can save you a lot of time and ensure you don’t miss potential factors!

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