Factor the following expression completely. x^(4)-4x^(2)+8x^(3)-32 x-9x^(2)+36 Answer:

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Factor the following expression completely.  x^(4)-4x^(2)+8x^(3)-32 x-9x^(2)+36 Answer:

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Rewrite in Descending Order: First, let's rewrite the expression in descending order of the powers of x: x^4 + 8x^3 - 4x^2 - 9x^2 - 32x + 36 Now, combine like terms: x^4 + 8x^3 - 13x^2 - 32x + 36Combine Like Terms: Next, we look for common factors in groups of terms. We can group the first three terms and the last two terms: (x^4 + 8x^3 - 13x^2) - (32x - 36)Group and Factor: Now, let's factor by grouping. We look for a common factor in the first group of terms: x^2(x^2 + 8x - 13) - (32x - 36)Factor by Grouping: We notice that there is no common factor in the second group of terms (32x - 36), but we can factor out a 4: x^2(x^2 + 8x - 13) - 4(8x - 9)Check Quadratic Factor: Now, we need to check if the quadratic x^2 + 8x - 13 can be factored. We look for two numbers that multiply to -13 and add up to 8. Unfortunately, there are no such integers, which means the quadratic does not factor over the integers. We can use the quadratic formula to factor over the real numbers, but since the problem asks for complete factorization, we will leave it as it is if it doesn't factor nicely.Final Simplification: The expression is now simplified as much as possible with integer factors: x^2(x^2 + 8x - 13) - 4(8x - 9) This is the completely factored form of the expression, assuming we are only factoring over the integers.

Factor the following expression completely. $\newline$ $x^{4}-4 x^{2}+8 x^{3}-32 x-9 x^{2}+36$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4−4x2+8x3−32x−9x2+36 x^{4}-4 x^{2}+8 x^{3}-32 x-9 x^{2}+36 x4−4x2+8x3−32x−9x2+36\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}-4 x^{2}+8 x^{3}-32 x-9 x^{2}+36$ $\newline$ Answer: