JAMB and WAEC Mathematics questions: Polynomials

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

1. Question 41· Polynomials· WAEC

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

   • A−4
   • B0
   • C8
   • D4

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   Explanation and discussion

2. Question 42· Polynomials· WAEC

   Expand (3x + 2)².

   • A9x² + 12x + 4
   • B9x² + 4
   • C9x² + 6x + 4
   • D3x² + 12x + 4

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   Explanation and discussion

3. Question 43· Polynomials· JAMB

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

   • A2
   • B0
   • C−2
   • D4

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   Explanation and discussion

4. Question 44· Polynomials· WAEC

   Solve the equation x² − 5x + 6 = 0.

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

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5. Question 45· 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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6. Question 46· 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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7. Question 47· Polynomials· JAMB

   Find the remainder when 2x³ + 3x² − x + 5 is divided by (x + 1).

   • A3
   • B9
   • C7
   • D−7

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   Explanation and discussion

8. Question 48· Polynomials· JAMB

   If (x − 1) is a factor of x³ + kx² − 4, find k.

   • A5
   • B−3
   • C4
   • D3

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9. Question 49· Polynomials· JAMB

   Factorise 10x² + 11x − 6.

   • A(5x + 2)(2x − 3)
   • B(5x − 2)(2x + 3)
   • C(10x − 3)(x + 2)
   • D(5x + 3)(2x − 2)

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10. Question 50· Polynomials· WAEC

    Expand (3x + 2)(x − 4).

    • A3x² − 10x − 8
    • B3x² + 10x − 8
    • C3x² − 14x − 8
    • D3x² − 10x + 8

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11. Question 51· Polynomials· WAEC

    Make r the subject of V = πr²h.

    • Ar = √(V/πh)
    • Br = V/πh
    • Cr = √(Vπh)
    • Dr = πh/V

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12. Question 52· Polynomials· WAEC

    Solve the equation 3x − 7 = 2x + 5.

    • A−12
    • B−2
    • C2
    • D12

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    Explanation and discussion

13. Question 53· Polynomials· WAEC

    Solve 5x + 3 = 2x − 9.

    • A2
    • B4
    • C−2
    • D−4

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    Explanation and discussion

14. Question 54· Polynomials· JAMB

    α and β are the roots of x² − 6x + 4 = 0. Find α² + β².

    • A32
    • B36
    • C44
    • D28

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    Explanation and discussion

15. Question 55· Polynomials· WAEC

    Expand (x + 3)(x − 2).

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

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    Explanation and discussion

16. Question 56· Polynomials· JAMB

    Find the positive value of k for which x² + kx + 9 is a perfect square.

    • A6
    • B3
    • C9
    • D18

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    Explanation and discussion

17. Question 57· Polynomials· JAMB

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

    • A12
    • B−4
    • C5/3
    • D4

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    Explanation and discussion