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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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The factored form is \(4x^{3}(2-x)\).

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Factor the expression \( 8x^3-4x^4 \). Factor the expression by following steps: - step0: Factor: \(8x^{3}-4x^{4}\) - step1: Rewrite the expression: \(4x^{3}\times 2-4x^{3}\times x\) - step2: Factor the expression: \(4x^{3}\left(2-x\right)\) The factored form of the polynomial \(8x^{3}-4x^{4}\) is \(4x^{3}(2-x)\).

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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!

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