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)
Sum of coefficients is 0, so (x-1) is a factor. Dividing gives x^2+x-6, which is (x-2)(x+3).
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