Express in partial fractions \( \frac{11+2}{6x^2-x-1} \)

Assessment: JAMB UTME - Mathematics - 1998 Subject: General Mathematics

Question 1 Report

Express in partial fractions \( \frac{11+2}{6x^2-x-1} \)

Answer Details
11 + 2 6 x 2 − x − 1  =  11 + 2 3 x + 1
=  A 3 x + 1  +  B 2 x − 1
11x = 2 = A(2x - 1) + B(3x + 1)
put x =  1 2
= - − 5 3
= - − 5 3 A  →  A = 1
∴  11 x + 2 6 x 2 − x − 1  =  1 3 x + 1  + 

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