Algebrahard · Past Paper

If x^2 + x + 1 = 0, find x^3.

A1
B-1
C0
Di

✓ Correct Answer: A1

x^3 - 1 = (x-1)(x^2+x+1). Since x^2+x+1=0, x^3-1=0, so x^3=1.

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