JAMB and WAEC Mathematics questions: Polynomials

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

1. Question 21· 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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   Explanation and discussion

2. Question 22· Polynomials· WAEC

   If f(x) = 2x² − 3x + 1, find f(−2).

   • A11
   • B3
   • C−1
   • D15

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   Explanation and discussion

3. Question 23· Polynomials· WAEC

   If f(x) = 2x² − 3, find f(−2).

   • A11
   • B−11
   • C5
   • D−5

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   Explanation and discussion

4. Question 24· Polynomials· WAEC

   Simplify (x² − 9)/(x² − 3x).

   • A(x − 3)/x
   • B(x + 3)/x
   • Cx + 3
   • D3/x

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   Explanation and discussion

5. Question 25· Polynomials· WAEC

   Solve 2x² − 7x + 3 = 0.

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

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   Explanation and discussion

6. Question 26· Polynomials· JAMB

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

   • A2
   • B−2
   • C4
   • D0

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   Explanation and discussion

7. Question 27· 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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   Explanation and discussion

8. Question 28· Polynomials· WAEC

   Solve the equation 4x² − 25 = 0.

   • Ax = ±5/2
   • Bx = ±25/4
   • Cx = 5/2 only
   • Dx = ±5

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   Explanation and discussion

9. Question 29· 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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   Explanation and discussion

10. Question 30· Polynomials· WAEC

    Find the value of x for which (x + 2)/(x − 4) is undefined.

    • A−2
    • B4
    • C2
    • D0

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    Explanation and discussion

11. Question 31· Polynomials· WAEC

    Factorise 4x² − 25y².

    • A(2x − 5y)²
    • B(2x − 5y)(2x + 5y)
    • C(4x − 5y)(x + 5y)
    • D(2x + 5y)²

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    Explanation and discussion

12. Question 32· Polynomials· WAEC

    Solve 3x − 7 = 11.

    • A4/3
    • B6
    • C18
    • D3

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    Explanation and discussion

13. Question 33· Polynomials· JAMB

    Simplify (x² − 4)/(x − 2).

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

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    Explanation and discussion

14. Question 34· Polynomials· WAEC

    Find the remainder when 2x³ + x² − 5x + 1 is divided by x + 1.

    • A−1
    • B5
    • C1
    • D9

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    Explanation and discussion

15. Question 35· 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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    Explanation and discussion

16. Question 36· Polynomials· WAEC

    Find the product of the roots of 3x² + 5x − 12 = 0.

    • A−5/3
    • B4
    • C−4
    • D5/3

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    Explanation and discussion

17. Question 37· Polynomials· WAEC

    Solve x² − 9x + 20 = 0.

    • Ax = 4 only
    • Bx = −4 or x = −5
    • Cx = 2 or x = 10
    • Dx = 4 or x = 5

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    Explanation and discussion

18. Question 38· Polynomials· WAEC

    Factorise x² − 9.

    • A(x − 3)²
    • B(x − 3)(x + 3)
    • C(x − 9)(x + 1)
    • D(x + 3)²

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    Explanation and discussion

19. Question 39· Polynomials· JAMB

    Solve 3x² = 27.

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

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    Explanation and discussion

20. Question 40· Polynomials· WAEC

    Solve simultaneously: x + y = 7 and x − y = 1.

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

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    Explanation and discussion