JAMB Mathematics questions

497 questions with answers and explanations. Tap an option to check yourself.

1. Question 321· Polynomials· JAMB

   Simplify 1/(x − 1) − 1/(x + 1).

   • A0
   • B2x/(x² − 1)
   • C2/(x² − 1)
   • D−2/(x² − 1)

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   Answer: C. 2/(x² − 1)

   Explanation and discussion

2. Question 322· Polynomials· JAMB

   When x³ − 2x² + kx − 6 is divided by (x − 2), the remainder is 4. Find k.

   • A4
   • B−5
   • C5
   • D3

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   Answer: C. 5

   Explanation and discussion

3. Question 323· Polynomials· JAMB

   For what value of k does x² − 4x + k = 0 have equal roots?

   • A16
   • B−4
   • C4
   • D2

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   Answer: C. 4

   Explanation and discussion

4. Question 324· Polynomials· JAMB

   α and β are the roots of x² − 5x + 6 = 0. Find α² + β².

   • A13
   • B25
   • C37
   • D1

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   Answer: A. 13

   Explanation and discussion

5. Question 325· Polynomials· JAMB

   For what values of x is (x² − 1)/(x² − 3x + 2) undefined?

   • Ax = −1 or x = 1
   • Bx = 1 or x = 2
   • Cx = 2 only
   • Dx = −1 or x = −2

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   Answer: B. x = 1 or x = 2

   Explanation and discussion

6. Question 326· Polynomials· JAMB

   Find the quadratic equation whose roots are 2 and −3.

   • Ax² − x + 6 = 0
   • Bx² − x − 6 = 0
   • Cx² + 5x − 6 = 0
   • Dx² + x − 6 = 0

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   Answer: D. x² + x − 6 = 0

   Explanation and discussion

7. Question 327· Polynomials· JAMB

   Solve the simultaneous equations x + y = 7 and x − y = 1.

   • Ax = 5, y = 2
   • Bx = 3, y = 4
   • Cx = 4, y = 3
   • Dx = 6, y = 1

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   Answer: C. x = 4, y = 3

   Explanation and discussion

8. Question 328· Polynomials· JAMB

   Expand (x + 3)(x − 5).

   • Ax² − 2x − 15
   • Bx² + 2x − 15
   • Cx² − 8x − 15
   • Dx² − 2x + 15

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   Answer: A. x² − 2x − 15

   Explanation and discussion

9. Question 329· Polynomials· JAMB

   Expand (2x − 3)².

   • A4x² + 9
   • B4x² − 12x + 9
   • C4x² − 6x + 9
   • D2x² − 12x + 9

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   Answer: B. 4x² − 12x + 9

   Explanation and discussion

10. Question 330· Polynomials· JAMB

    The sum of two numbers is 17 and their difference is 5. What is their product?

    • A85
    • B60
    • C72
    • D66

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    Answer: D. 66

    Explanation and discussion

11. Question 331· Polynomials· JAMB

    Solve 2x² + 5x − 3 = 0.

    • Ax = −½ or 3
    • Bx = ½ or −3
    • Cx = 1 or −3/2
    • Dx = 3 or ½

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    Answer: B. x = ½ or −3

    Explanation and discussion

12. Question 332· Polynomials· JAMB

    Find the remainder when x³ − 2x² + 3x − 4 is divided by (x − 2).

    • A2
    • B−2
    • C4
    • D0

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    Answer: A. 2

    Explanation and discussion

13. Question 333· Polynomials· JAMB

    Solve x² − 5x + 6 = 0.

    • Ax = −1 or −6
    • Bx = −2 or −3
    • Cx = 1 or 6
    • Dx = 2 or 3

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    Answer: D. x = 2 or 3

    Explanation and discussion

14. Question 334· Polynomials· JAMB

    If α and β are the roots of 2x² − 6x + 3 = 0, find α + β and αβ.

    • A3 and 3/2
    • B−3 and 3/2
    • C3 and −3/2
    • D6 and 3

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    Answer: A. 3 and 3/2

    Explanation and discussion

15. Question 335· Polynomials· JAMB

    Simplify (x² − 4)/(x − 2).

    • Ax − 2
    • Bx + 2
    • Cx − 4
    • Dx + 4

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    Answer: B. x + 2

    Explanation and discussion

16. Question 336· Polynomials· JAMB

    Factorise 6x² − x − 2.

    • A(6x − 1)(x + 2)
    • B(3x + 2)(2x − 1)
    • C(3x − 2)(2x + 1)
    • D(2x − 2)(3x + 1)

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    Answer: C. (3x − 2)(2x + 1)

    Explanation and discussion

17. Question 337· Polynomials· JAMB

    Solve 3x² = 27.

    • Ax = 9
    • Bx = 3 only
    • Cx = ±9
    • Dx = ±3

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    Answer: D. x = ±3

    Explanation and discussion

18. Question 338· Polynomials· JAMB

    Find the remainder when x³ + 2x − 1 is divided by (x − 1).

    • A2
    • B0
    • C−2
    • D4

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    Answer: A. 2

    Explanation and discussion

19. Question 339· Polynomials· JAMB

    Solve 3x² − 7x + 2 = 0.

    • Ax = 1/3 or x = 2
    • Bx = −1/3 or x = −2
    • Cx = 3 or x = 1/2
    • Dx = 2/3 or x = 1

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    Answer: A. x = 1/3 or x = 2

    Explanation and discussion

20. Question 340· Polynomials· JAMB

    Factorise x² + 7x + 12.

    • A(x − 3)(x − 4)
    • B(x + 2)(x + 6)
    • C(x + 1)(x + 12)
    • D(x + 3)(x + 4)

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    Answer: D. (x + 3)(x + 4)

    Explanation and discussion