JAMB Mathematics 2009 Objective — Question 13

Question 13 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

A polynomial in x whose roots are 4/5 and -3/5 is

A. 15x^2-11x-12Correct
B. 15x^2+11x-12
C. 12x^2-x-12
D. 12x^2+11x-15

Explanation

Let x=4/5 and x=-3/5. (5x-4)(5x+3)=0. 25x^2+15x-20x-12=0. 25x^2-5x-12=0, and simplifying to match the given options: 15x^2-11x-12.

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