Question

${x}^{3} - 2 {x}^{2} - x + 2$
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Answer 1

Answer:

$x {}^{3} - 2x {}^{2} - x + 2 \\ (x {}^{3} - 2x {}^{2} ) - (x + 2) = 0 \\x {}^{2} (x - 2) - 1(x - 2) = 0 \\ (x - 2)(x {}^{2} - 1) = 0 \\ x - 2 = 0 \: or \: x {}^{2} - 1 = 0 \\ x = 2 \: or \: x {}^{2} = 1 \\ x = 2 \: or \: x = \sqrt{1}$

Answer 2

Answer:

${x}^{3} - 2 {x}^{2} - x + 2 \\ {x}^{2} (x - 2) - 1(x - 2) \\ ( {x}^{2} - 1)(x - 2)$