Algebrahard · Past Paper
The expression x^4 + 4 can be factorized as:
A(x^2+2)(x^2-2)
B(x^2+2x+2)(x^2-2x+2)
C(x^2+2)^2
D(x+2)^4
✓ Correct Answer: B — (x^2+2x+2)(x^2-2x+2)
x^4 + 4 = (x^2)^2 + 2^2 = (x^2+2)^2 - 2(x^2)(2) = (x^2+2)^2 - (2x)^2 = (x^2+2+2x)(x^2+2-2x).
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