Factor completely. x^(5)-x^(4)+3x-3=

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Factor completely.  x^(5)-x^(4)+3x-3=

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Identify Common Factors: Look for common factors in all terms. In the expression x^5 - x^4 + 3x - 3, there are no common factors in all terms.Group and Analyze Terms: Group terms to look for common factors within the groups. We can group the terms as (x^5 - x^4) and (3x - 3).Factor Out Common Factors: Factor out the greatest common factor from each group. From the first group (x^5 - x^4), we can factor out x^4, giving us x^4(x - 1). From the second group (3x - 3), we can factor out 3, giving us 3(x - 1).Find Binomial Factors: Look for common binomial factors. Both groups now have a common factor of (x - 1).Factor Out Binomial Factor: Factor out the common binomial factor. We can write the expression as (x - 1)(x^4 + 3).Check for Further Factoring: Check if the remaining terms can be factored further. The term x^4 is a power of x and cannot be factored further. The constant 3 has no factors other than 1 and 3 and does not appear in any other terms, so it cannot be factored out.Write Final Form: Write the final factorized form. The completely factored form of the polynomial is (x - 1)(x^4 + 3).

Factor completely. $\newline$ $x^{5}-x^{4}+3 x-3=$

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Factor completely.\newlinex5−x4+3x−3= x^{5}-x^{4}+3 x-3= x5−x4+3x−3=

Factor completely. $\newline$ $x^{5}-x^{4}+3 x-3=$