JAMB Mathematics 2019 Objective — Question 17

Question 17 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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

A. 15x²-11x-12Correct
B. 15x²+11x-12
C. 12x²-x-12
D. 12x²+11x-15

Explanation

Sum of roots = 4/3+(−3/5) = 11/15. Product of roots = (4/3)(−3/5)=−4/5. Quadratic = x²−(sum)x+(product) = x²−11x/15−4/5. Multiplying through by 15: 15x²−11x−12.

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