WAEC Mathematics questions: Polynomials

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

1. Question 1· Polynomials· WAEC

   If (x + 3) is a factor of x² + kx − 6, find k.

   • A−5
   • B−1
   • C3
   • D1

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   Explanation and discussion

2. Question 2· Polynomials· WAEC

   Solve simultaneously: 2x + 3y = 13 and x − y = −1.

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

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3. Question 3· Polynomials· WAEC

   Factorise x² + 9x + 14.

   • A(x − 2)(x − 7)
   • B(x + 1)(x + 14)
   • C(x + 2)(x + 7)
   • D(x + 3)(x + 6)

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4. Question 4· Polynomials· WAEC

   Simplify (x² − 9)/(x + 3).

   • Ax² − 3
   • Bx + 3
   • Cx − 3
   • Dx − 9

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5. Question 5· Polynomials· WAEC

   Factorise x² − 5x + 6.

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

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6. Question 6· Polynomials· WAEC

   Solve simultaneously: 2x + y = 11 and x − y = 4.

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

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7. Question 7· Polynomials· WAEC

   The sum of the roots of 3x² − 6x + 2 = 0 is

   • A2/3
   • B−2
   • C2
   • D6

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8. Question 8· Polynomials· WAEC

   Make r the subject of the formula A = πr².

   • Ar = √(A/π)
   • Br = A/π
   • Cr = √(Aπ)
   • Dr = (A/π)²

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9. Question 9· Polynomials· WAEC

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

   • A11
   • B3
   • C−1
   • D15

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10. Question 10· Polynomials· WAEC

    If f(x) = 2x² − 3, find f(−2).

    • A11
    • B−11
    • C5
    • D−5

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11. Question 11· Polynomials· WAEC

    Simplify (x² − 9)/(x² − 3x).

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

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12. Question 12· 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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13. Question 13· Polynomials· WAEC

    Solve the equation 4x² − 25 = 0.

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

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14. Question 14· Polynomials· WAEC

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

    • A−2
    • B4
    • C2
    • D0

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15. Question 15· 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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16. Question 16· Polynomials· WAEC

    Solve 3x − 7 = 11.

    • A4/3
    • B6
    • C18
    • D3

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17. Question 17· Polynomials· WAEC

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

    • A−1
    • B5
    • C1
    • D9

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18. Question 18· 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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19. Question 19· 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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20. Question 20· 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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