Algebrahard · Past Paper
Factorize x^4 + 3x^2 + 4.
A(x^2+x+2)(x^2-x+2)
B(x^2+2)^2
C(x^2-x+2)^2
D(x^2+2x+2)(x^2-2x+2)
✓ Correct Answer: A — (x^2+x+2)(x^2-x+2)
(x^2+2)^2 - 4x^2 + 3x^2 = (x^2+2)^2 - x^2 = (x^2+2-x)(x^2+2+x).
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