Algebrahard · Past Paper

Factorize x^4 - 7x^2 + 1.

A(x^2+3x+1)(x^2-3x+1)
B(x^2-3x-1)(x^2+3x-1)
C(x^2+x+1)(x^2-x+1)
D(x^2-1)^2-5x^2

✓ Correct Answer: A(x^2+3x+1)(x^2-3x+1)

(x^2+1)^2 - 9x^2 = (x^2+1-3x)(x^2+1+3x).

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