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

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

Bytelearn · Accepted Answer

Identify Common Factors: Look for common factors in all terms. In the polynomial x^5 - x^4 + 3x - 3, there are no common factors in all terms.Group and Analyze Terms: Group terms to see if we can factor by grouping. We can try to group the first two terms and the last two terms: (x^5 - x^4) + (3x - 3).Factor Out Common Factors: Factor out the common factors 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).Rewrite Factored Polynomial: Rewrite the polynomial with the factored groups. The polynomial now looks like x^4(x - 1) + 3(x - 1).Factor Out Binomial Factor: Factor out the common binomial factor (x - 1). We can now factor (x - 1) out of both terms, giving us (x - 1)(x^4 + 3).Check for Further Factoring: Check if the remaining terms can be factored further. The term x^4 + 3 cannot be factored further using real numbers because it is a sum of two terms where one is a power of x and the other is a constant.

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

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

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