Choose the correct answer form the alternatives given.
What is the HCF of $(x^{4} - x^{2} - 6) a n d (x^{4} - 4 x^{2} + 3)$ ?

x^{2}

3

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x + 2

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x + 3

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x^{2}

3

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Solution

The correct option is C $x^{2}$ - $3$
$(x^{4} - x^{2} - 6) = (x^{2} - 3) (x^{2} + 2)$
$(x^{4} - 4 x^{2} + 3) = (x^{2} - 3) (x^{2} - 1)$
HCF is = $x^{2}$ - $3$

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