Find the roots of x3 3 - 19x - 30=0

Assessment: JAMB UTME - Mathematics - 2024 Subject: General Mathematics

Question 1 Report

Find the roots of x3 3  - 19x - 30=0
Answer Details

x3
 - 19x - 30

 test x = 5
53 3   −19(5) − 30 = 125 − 95 − 30 = 0

(x - 5) is a factor.

x3
 - 19x - 30 divided by (x - 5) = x2
 + 5x + 6 

factorizing x2 2  + 5x + 6, we have (x+2)

(x+2)(x+3)(x - 5) = 0 

x = -2, -3, and 5.

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