Factor the following expression completely. x^(4)-3x^(3)+2x^(2)-9x^(2)+27 x-18 Answer:

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Factor the following expression completely.  x^(4)-3x^(3)+2x^(2)-9x^(2)+27 x-18 Answer:

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Combine like terms: First, let's rewrite the expression by combining like terms. x^4 - 3x^3 + (2x^2 - 9x^2) + 27x - 18 x^4 - 3x^3 - 7x^2 + 27x - 18Factor by grouping: Now, we look for common factors in pairs of terms or try to factor by grouping. Group the terms as follows: (x^4 - 3x^3) + (-7x^2 + 27x) - 18Factor out common factors: Factor out the greatest common factor from each group. x^3(x - 3) - 7x(x - 3) - 18 Notice that (x - 3) is a common factor in the first two groups.Factor remaining term: Now, factor (x - 3) out of the first two groups. (x - 3)(x^3 - 7x) - 18Cannot factor further: We can't factor (x^3 - 7x) further using integer coefficients, but we can factor out an x. (x - 3)(x(x^2 - 7)) - 18Now, we look at the remaining term, -18, to see if it can be factored with (x - 3). Since 18 is not a multiple of (x - 3), we cannot factor it out directly. However, we can look for a pattern or a common factor that includes -18 and the rest of the expression.We notice that the expression does not have a common factor that includes -18. Therefore, we cannot factor it with the rest of the expression. The expression is already factored as much as possible with integer coefficients.

Factor the following expression completely. $\newline$ $x^{4}-3 x^{3}+2 x^{2}-9 x^{2}+27 x-18$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4−3x3+2x2−9x2+27x−18 x^{4}-3 x^{3}+2 x^{2}-9 x^{2}+27 x-18 x4−3x3+2x2−9x2+27x−18\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}-3 x^{3}+2 x^{2}-9 x^{2}+27 x-18$ $\newline$ Answer: