Algebrahard · Past Paper
Factorize x^4 + x^2 + 1.
A(x^2+x+1)(x^2-x+1)
B(x^2+1)^2
C(x^2-1)^2
D(x^2+x-1)(x^2-x-1)
✓ Correct Answer: A — (x^2+x+1)(x^2-x+1)
Add and subtract x^2: (x^4 + 2x^2 + 1) - x^2 = (x^2+1)^2 - x^2 = (x^2+1-x)(x^2+1+x).
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