Algebrahard · Past Paper

Factorize: x^4 + 3x^2 + 4

A(x^2+x+2)(x^2-x+2)
B(x^2+2x+2)(x^2-2x+2)
C(x^2+2)^2 - x^2
D(x^2+3x+2)(x^2-3x+2)

✓ Correct Answer: A(x^2+x+2)(x^2-x+2)

(x^4 + 4x^2 + 4) - x^2 = (x^2+2)^2 - x^2 = (x^2+2+x)(x^2+2-x).

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