JAMB Mathematics 2021 Objective — Question 10

Question 10 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

10. If x = 1 is a root of the equation x³ - 2x² - 5x + 6 = 0, find the other roots (a) 1 & 3 (b) 3 & -2 (c) 2 & -2 (d) 2 & -3

A. 1 & 3
B. 3 & -2Correct
C. 2 & -2
D. 2 & -3

Explanation

Since x=1 is a root, (x-1) is a factor. Dividing gives x²-x-6, which factorises to (x-3)(x+2). So the other roots are x = 3 and x = -2.

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