Algebramedium · Past Paper
If (x - k) is the HCF of x^2 - x - 6 and x^2 + 3x + 2, find k.
A2
B-2
C-1
D3
✓ Correct Answer: B — -2
x^2-x-6=(x-3)(x+2). x^2+3x+2=(x+1)(x+2). HCF is x+2, so x-k = x+2 implies k = -2.
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