Solving quadratics and completing the square

Solving quadratics and completing the square Quiz

Spec 1.5 · Edexcel International A Level Maths: Quiz

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  1. 1. Solve x2−5x−14=0x^2-5x-14=0.

    • A. x=7x=7 or x=−2x=-2
    • B. x=−7x=-7 or x=2x=2
    • C. x=14x=14 or x=−1x=-1
    • D. x=5x=5 or x=−14x=-14

  2. 2. Write x2+8x+3x^2+8x+3 in the form (x+p)2+q(x+p)^2+q.

    • A. (x+8)2−61(x+8)^2-61
    • B. (x+4)2+19(x+4)^2+19
    • C. (x+4)2+13(x+4)^2+13
    • D. (x+4)2−13(x+4)^2-13

  3. 3. Use the formula to solve 2x2+3x−4=02x^2+3x-4=0.

    • A. −3±234\frac{-3\pm\sqrt{23}}{4}
    • B. −3±414\frac{-3\pm\sqrt{41}}{4}
    • C. 3±414\frac{3\pm\sqrt{41}}{4}
    • D. −3±412\frac{-3\pm\sqrt{41}}{2}

  4. 4. Write 3x2−12x+53x^2-12x+5 in the form a(x+p)2+qa(x+p)^2+q.

    • A. 3(x−2)2+173(x-2)^2+17
    • B. 3(x−4)2−433(x-4)^2-43
    • C. 3(x−2)2−73(x-2)^2-7
    • D. 3(x+2)2−73(x+2)^2-7

  5. 5. What is the minimum value of x2−6x+11x^2-6x+11?

    • A. 22
    • B. 33
    • C. −2-2
    • D. 1111

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