The factors of 9 - (x2 - 3x - 1)2 are

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

The factors of 9 - (x2 - 3x - 1)2 are

Answer Details

9 - (x2 - 3x - 1)2 = [3 - (x2 - 3x - 1)] [3 + (x2 - 3x - 1)]
= (3 - x2 + 3x + 1)(3 + x2 - 3x - 1)
= (4 + 3x - x2)(x2 - 3x + 2)
= (4 - x)(1 + x)(x - 1)(x - 2)
= -(x - 4)(x + 1) (x - 1)(x - 2)

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