Algebrahard · Past Paper

Factorize x^3 - 7x - 6.

A(x+1)(x+2)(x-3)
B(x-1)(x+2)(x+3)
C(x+1)(x-2)(x+3)
D(x-1)(x-2)(x-3)

✓ Correct Answer: A(x+1)(x+2)(x-3)

By Factor Theorem, x=-1 is a root. Dividing gives x^2-x-6 = (x-3)(x+2).

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