JAMB Mathematics 2010 Objective — Question 15

Question 15 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

15. Factorize completely (x^3+3x^2-10x)/(2x^2-8). A. x(x-5)/2(x-2) B. (x^2+5)/(2x+4) C. x(x-5)/2(x+2) D. x(x+5)/2(x+2)

A. x(x-5)/2(x-2)
B. (x^2+5)/(2x+4)
C. x(x-5)/2(x+2)
D. x(x+5)/2(x+2)Correct

Explanation

x=2 makes x^3+3x^2-10x=0, so (x-2) is a factor. x^3+3x^2-10x = x(x+5)(x-2). Dividing by 2x^2-8=2(x-2)(x+2): result = x(x+5)/2(x+2).

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