Algebrahard · Past Paper
Factorize x^3 - 2x^2 - x + 2.
A(x-1)(x+1)(x-2)
B(x-1)^2(x+2)
C(x+1)^2(x-2)
D(x-1)(x-2)^2
✓ Correct Answer: A — (x-1)(x+1)(x-2)
Grouping: x^2(x-2) - 1(x-2) = (x-2)(x^2-1) = (x-2)(x-1)(x+1).
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✓ Correct Answer: A — (x-1)(x+1)(x-2)
Grouping: x^2(x-2) - 1(x-2) = (x-2)(x^2-1) = (x-2)(x-1)(x+1).
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