Algebrahard · Past Paper

Factorize x^5 - x.

Ax(x-1)(x+1)(x^2+1)
Bx(x^2-1)^2
Cx(x-1)^4
D(x^2-1)(x^2+1)

✓ Correct Answer: Ax(x-1)(x+1)(x^2+1)

x(x^4-1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1).

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