Factor. 3x^3 - 6x^2 + 8x - 16 ______

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Identify common factors: Identify common factors in each term. We look for any common factors in all terms of the polynomial 3x^3 - 6x^2 + 8x - 16. The common factor here is 1, as there are no other common factors that divide all terms.Group terms to factor: Group terms to factor by grouping. We can try to group the terms in pairs to see if we can factor by grouping. Group the terms as follows: (3x^3 - 6x^2) + (8x - 16).Factor out greatest common factor: Factor out the greatest common factor from each group. From the first group (3x^3 - 6x^2), we can factor out 3x^2, giving us 3x^2(x - 2). From the second group (8x - 16), we can factor out 8, giving us 8(x - 2). Now we have 3x^2(x - 2) + 8(x - 2).Factor out common binomial factor: Factor out the common binomial factor. We notice that (x - 2) is a common factor in both terms. Factor out (x - 2) to get (x - 2)(3x^2 + 8).Check for further factorization: Check if the remaining quadratic can be factored further. The quadratic 3x^2 + 8 does not have real roots and cannot be factored further over the real numbers.

Factor. $\newline$ $3x^3 - 6x^2 + 8x - 16$

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Factor.\newline3x3−6x2+8x−163x^3 - 6x^2 + 8x - 163x3−6x2+8x−16

Factor. $\newline$ $3x^3 - 6x^2 + 8x - 16$