Factor completely: 4x-2x^(2)-2x^(3) Answer:

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Factor completely:  4x-2x^(2)-2x^(3) Answer:

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Identify common factors: Identify common factors. Look for the greatest common factor (GCF) that can be factored out from all terms in the polynomial 4x - 2x^2 - 2x^3. The GCF is 2x, as each term is divisible by 2x.Factor out the GCF: Factor out the GCF. Factor out the GCF, 2x, from each term in the polynomial. 2x(2 - x - x^2)Rearrange terms in parentheses: Rearrange the terms in the parentheses. Rearrange the terms inside the parentheses in descending order of the exponents. 2x(-x^2 - x + 2)Factor the quadratic expression: Factor the quadratic expression. Now, we need to factor the quadratic expression -x^2 - x + 2. We look for two numbers that multiply to -2 (the product of the leading coefficient -1 and the constant term 2) and add up to -1 (the coefficient of the middle term). The numbers -2 and 1 fit this requirement because -2 * 1 = -2 and -2 + 1 = -1.Write factored form: Write the factored form of the quadratic expression. Using the numbers found in Step 4, we can write the factored form of the quadratic expression as (-x + 1)(x - 2).Combine GCF with factored expression: Combine the GCF with the factored quadratic expression. Combine the GCF, 2x, with the factored form of the quadratic expression to get the completely factored form of the original polynomial. 2x(-x + 1)(x - 2)

Factor completely: $\newline$ $4 x-2 x^{2}-2 x^{3}$ $\newline$ Answer:

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Factor completely:\newline4x−2x2−2x3 4 x-2 x^{2}-2 x^{3} 4x−2x2−2x3\newlineAnswer:

Factor completely: $\newline$ $4 x-2 x^{2}-2 x^{3}$ $\newline$ Answer: