Question
plete the factoring of the polynomial. \[ 8 x^{3}-4 x^{4}=4 x^{3}(\square) \]
Ask by Griffin Willis. in the United States
Feb 20,2025
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Answer
The factored form is \(4x^{3}(2-x)\).
Solution
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Beyond the Answer
To complete the factoring of the polynomial \( 8 x^{3}-4 x^{4} \), we start by factoring out the greatest common factor (GCF), which is \( 4 x^{3} \). So we can rewrite the polynomial as: \[ 8 x^{3} - 4 x^{4} = 4 x^{3}(2 - x) \] Now you have fully factored it as \( 4 x^{3}(2 - x) \). This shows the clarity of the factorization process!