Factor the following expression completely. x^(4)-8x^(3)+7x^(2)-9x^(2)+72 x-63 Answer:

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Factor the following expression completely.  x^(4)-8x^(3)+7x^(2)-9x^(2)+72 x-63 Answer:

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Combine Like Terms: First, let's combine like terms in the expression. x^4 - 8x^3 + (7x^2 - 9x^2) + 72x - 63 x^4 - 8x^3 - 2x^2 + 72x - 63Factor by Grouping: Next, we look for common factors in pairs of terms or try to factor by grouping. Grouping the first three terms and the last two terms separately: (x^4 - 8x^3 - 2x^2) + (72x - 63)Factor Common Factors: Factor out the greatest common factor from each group. x^2(x^2 - 8x - 2) + 9(8x - 7)Re-evaluate Quadratic: Now, we look for common factors again or try to factor the quadratic. The quadratic x^2 - 8x - 2 does not factor nicely, and there are no common factors between the two groups. So, we check if we made a mistake in grouping or factoring.Correct Mistake: Upon re-evaluating the expression, we realize that the quadratic x^2 - 8x - 2 was incorrectly factored. We need to find two numbers that multiply to -2 and add up to -8. However, there are no such integers, and the quadratic is not factorable over the integers. We must have made a mistake in the previous steps.

Factor the following expression completely. $\newline$ $x^{4}-8 x^{3}+7 x^{2}-9 x^{2}+72 x-63$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4−8x3+7x2−9x2+72x−63 x^{4}-8 x^{3}+7 x^{2}-9 x^{2}+72 x-63 x4−8x3+7x2−9x2+72x−63\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}-8 x^{3}+7 x^{2}-9 x^{2}+72 x-63$ $\newline$ Answer: