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Factors of x^4 + 5x^2 + 9 are :

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in Algebraic Expressions by (49.3k points)
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Factors of x4 + 5x2 + 9 are :

(a) (x2 + 2x + 3)(x2 + 3x + 3) 

(b) (x2 - 2x + 3)(x2 - 3x - 3) 

(c) (x2 - 2x - 3)(x2 + 3x + 3) 

(d) (x2 - 2x + 3)(x2 + 3x + 3) 

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1 Answer

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by (46.3k points)

(d) (x2 - 2x + 3)(x2 + 3x + 3) 

x4 + 5x2 + 9

= x4 + 6x2 + 9 - x2         (Note the step)

= (x2 + 3)2 - x2

Now, factorise using x2 - y2 = (x + y)(x - y)

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