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Yanka [14]
3 years ago
14

Use long division to divide: (x3 – x2 – 2x + 8) ÷ (x – 1)

Mathematics
2 answers:
Ugo [173]3 years ago
7 0
We perform the long division as follows:

\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} - 2 \\ x - 1 \sqrt{ {x}^{3} - {x}^{2} - 2x + 8 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{{x}^{3} - {x}^{2} } { - - } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 2x + 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{ - 2x + 2}{6}
Hence

{x}^{3} - {x}^{2} - 2x + 8 \div x - 1 = {x }^{2} - 2 + \frac{6}{x - 1}
Crazy boy [7]3 years ago
3 0

Answer:

Step-by-step explanation:

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