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Factorisation Using Algebraic Identities

The factors o...

Question

The factors of $x^{8} - x^{4} - 30$ are:

(x^{4} - 6)

and

(x^{4} - 5)

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(x^{4} - 6)

and

(x^{4} + 5)

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(x^{4} + 6)

and

(x^{4} - 5)

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(x^{4} + 6)

and

(x^{4} + 5)

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Solution

The correct option is B $(x^{4} - 6)$ and $(x^{4} + 5)$
$x^{8} - x^{4} - 30$
$= x^{8} - 6 x^{4} + 5 x^{4} - 30$
$= x^{4} (x^{4} - 6) + 5 (x^{4} - 6)$
$= (x^{4} + 5) (x^{4} - 6)$

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Similar questions

(x^{4} - x^{2} - 6)

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{(6 - x)}^{4} + {(8 - x)}^{4} = 16

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x + (\frac{1}{x}) = 6

x^{2} + (\frac{1}{x^{2}})

x^{4} + (\frac{1}{x^{4}})

(6 - x)^{4} + (8 - x)^{4} = 16

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