Factorise: X4 - 5x2 - 36 - Mathematics

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Question

Factorise: x4 - 5x2 - 36

Sum

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SolutionShow Solution

x4 - 5x2 - 36

= (x2)2 - 5x2 - 36

= (x2)2 - 9x2 + 4x2 - 36 ...{∵ -36 = -9 × 4 } {-5 = -9 + 4}

= x2 (x2 - 9) + (x2 - 9)

= (x2 - 9)(x2 + 4)

= [x2 - (3)2] [x2 + 4]

= (x + 3)(x - 3)(x2 + 4)

= (x2 +4) (x + 3)(x - 3)

shaalaa.comFactorisation by Taking Out Common Factors Report Error Is there an error in this question or solution?Q 8.5Q 8.4Q 8.6Chapter 13: Factorisation - Exercise 13 (F) [Page 163]

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Selina Concise Mathematics [English] Class 8 ICSEChapter 13 FactorisationExercise 13 (F) | Q 8.5 | Page 163

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