Completing the Square

Completing the Square Quiz

Spec 2.2 · Edexcel IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. What is x2+4x+1x^2+4x+1 written in completed square form?

    • A. (x+2)2−3(x+2)^2-3
    • B. (x+2)2+3(x+2)^2+3
    • C. (x+4)2−1(x+4)^2-1
    • D. (x+2)2−1(x+2)^2-1

  2. 2. For f(x)=(x−5)2+2f(x)=(x-5)^2+2, what is the turning point?

    • A. (5,2)(5, 2)
    • B. (−5,2)(-5, 2)
    • C. (5,−2)(5, -2)
    • D. (2,5)(2, 5)

  3. 3. What is the minimum value of g(x)=(x+1)2−7g(x)=(x+1)^2-7?

    • A. −7-7
    • B. 11
    • C. 77
    • D. −1-1

  4. 4. When completing the square for 3x2+18x+53x^2+18x+5, what is the correct completed form?

    • A. 3(x+3)2−223(x+3)^2-22
    • B. 3(x+3)2+53(x+3)^2+5
    • C. 3(x+6)2−313(x+6)^2-31
    • D. (3x+9)2−22(3x+9)^2-22

  5. 5. Solving x2−6x+2=0x^2-6x+2=0 by completing the square gives which pair of solutions?

    • A. x=3±7x=3\pm\sqrt{7}
    • B. x=3±2x=3\pm\sqrt{2}
    • C. x=−3±7x=-3\pm\sqrt{7}
    • D. x=6±7x=6\pm\sqrt{7}

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