Factor completely: 16 x-14x^(2)-2x^(3) Answer:

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Factor completely:  16 x-14x^(2)-2x^(3) Answer:

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Identify Factors: Identify common factors in all terms. We look for the greatest common factor (GCF) that can be factored out from all terms in the polynomial 16x - 14x^2 - 2x^3. The GCF is 2x, as all terms are multiples of 2x.Factor Out GCF: Factor out the GCF from the polynomial. We factor out 2x from each term in the polynomial. 2x(8 - 7x - x^2)Rearrange Terms: Rearrange the terms inside the parentheses in descending order of the powers of x. We write the terms inside the parentheses in the standard form, starting with the highest power of x. 2x(-x^2 - 7x + 8)Factor Quadratic Expression: Factor the quadratic expression inside the parentheses. We look for two numbers that multiply to give the product of the coefficient of x^2 (-1) and the constant term (8), and add up to the coefficient of x (-7). The numbers that satisfy these conditions are -8 and +1. 2x(-x^2 - 8x + x + 8)Group Terms: Group the terms inside the parentheses to factor by grouping. We group the terms to factor by grouping. 2x[(-x^2 - 8x) + (x + 8)]Factor by Grouping: Factor out the common factors from each group. We factor out -x from the first group and 1 (or nothing) from the second group. 2x[-x(x + 8) + 1(x + 8)]Factor Common Binomial: Factor out the common binomial factor. We notice that (x + 8) is a common factor in both groups. 2x(x + 8)(-x + 1)Simplify Expression: Simplify the expression. We simplify the expression by rearranging the factors. 2x(x + 8)(1 - x)

Factor completely: $\newline$ $16 x-14 x^{2}-2 x^{3}$ $\newline$ Answer:

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Factor completely:\newline16x−14x2−2x3 16 x-14 x^{2}-2 x^{3} 16x−14x2−2x3\newlineAnswer:

Factor completely: $\newline$ $16 x-14 x^{2}-2 x^{3}$ $\newline$ Answer: