Factor the following expression completely. x^(4)-9x^(2)-6x^(3)+54 x+8x^(2)-72 Answer:

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Factor the following expression completely.  x^(4)-9x^(2)-6x^(3)+54 x+8x^(2)-72 Answer:

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Rearrange Terms in Descending Order: First, we need to rearrange the terms of the expression in descending order of the powers of x. x^4 - 6x^3 + (8x^2 - 9x^2) + 54x - 72 Simplify the x^2 terms. x^4 - 6x^3 - x^2 + 54x - 72Simplify x^2 Terms: Next, we look for common factors in groups of terms. Group the terms as follows: (x^4 - 6x^3) + (-x^2 + 54x) - 72 Factor out the common factor x^3 from the first group and x from the second group. x^3(x - 6) + x(-x + 54) - 72Factor Out Common Factors: Now, we notice that there is no common factor in all three groups, so we look for patterns or factor by grouping. We can try to factor by grouping the first two groups together and leaving the constant term separate. (x^3 + x)(x - 6) - 72Reassess Grouping Strategy: We realize that the previous step was incorrect because (x^3 + x) is not a common factor of the first two groups. We need to reassess our grouping strategy. Let's regroup the terms to see if there's a better way to factor by grouping. Group the terms as follows: (x^4 - 6x^3 - x^2) + (54x - 72) Now, factor out the common factor x^2 from the first group. x^2(x^2 - 6x - 1) + (54x - 72)

Factor the following expression completely. $\newline$ $x^{4}-9 x^{2}-6 x^{3}+54 x+8 x^{2}-72$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4−9x2−6x3+54x+8x2−72 x^{4}-9 x^{2}-6 x^{3}+54 x+8 x^{2}-72 x4−9x2−6x3+54x+8x2−72\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}-9 x^{2}-6 x^{3}+54 x+8 x^{2}-72$ $\newline$ Answer: