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Factor the polynomial by factoring out the greatest common facto \[ 4 m^{2}-4 m \]

Ask by Stanley Harris. in the United States
Jan 24,2025

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The factored form is \(4m(m-1)\).

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Beyond the Answer

To factor the polynomial \( 4m^{2} - 4m \), you first identify the greatest common factor (GCF) from both terms. Here, the GCF is \( 4m \). Now, you can factor by pulling out \( 4m \): \[ 4m^{2} - 4m = 4m(m - 1) \] So, the factored form is \( 4m(m - 1) \). When you’re factoring, keep an eye out for the GCF because it simplifies the process significantly. It’s like tidying up your workspace before starting a project—it makes everything else easier! To ensure you’ve factored correctly, you can always redistribute your factors to check if you get back to the original polynomial. By doing this, you're sharpening your understanding of how factors work together, which comes in handy in more complex problems!

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