Polynomials Jamb Mathematics Past Questions
Question 1
The solution of the equation \(x^2 - x - 6 = 0\) is
- A. x = 0 or x = 2
- B. x = -2 or x = 4
- C. x = 2
- D. x = -4
- E. x = 3 or x = -2
Question 2
If \(6x^3 + 2x^2 - 5x + 1\) divides \(x^2 - x - 1\), find the remainder.
- A. 9x + 9
- B. 2x + 6
- C. 6x + 8
- D. 5x - 3
Question 3
Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).
- A. (x+y+6)(x+y-3)
- B. (x-y-6)(x-y+3)
- C. (x-y+6)(x-y-3)
- D. (x+y-6)(x+y+3)
Question 4
Express \(\frac{1}{x^{3}-1}\) in partial fractions
- A. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x + 2)}{x^{2} + x + 1})\)
- B. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{x - 2}{x^{2} + x + 1})\)
- C. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 2)}{x^{2} + x + 1})\)
- D. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 1)}{x^{2} - x - 1})\)
Question 5
Divide 4x\(^3\) - 3x + 1 by 2x - 1
- A. 2x2-x+1
- B. 2x2-x-1
- C. 2x2+x+1
- D. 2x2+x-1