The factor theorem

The factor theorem Quiz

Spec B6 · AQA A-Level Maths: Quiz

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  1. 1. Which of these is NOT a factor of x3−7x+6x^3-7x+6?

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

  2. 2. (3x+2)(3x+2) is a factor of h(x)h(x). Which equation must be true?

    • A. h(23)=0h\left(\frac23\right)=0
    • B. h(−23)=0h\left(-\frac23\right)=0
    • C. h(2)=0h(2)=0
    • D. h(−2)=0h(-2)=0

  3. 3. (x−2)(x-2) is a factor of x3+kx2−3x+2x^3+kx^2-3x+2. Find kk.

    • A. k=−1k=-1
    • B. k=1k=1
    • C. k=−3k=-3
    • D. k=0k=0

  4. 4. Given that x3−x2−8x+12=(x−2)2(x+3)x^3-x^2-8x+12=(x-2)^2(x+3), solve x3−x2−8x+12=0x^3-x^2-8x+12=0.

    • A. x=2x=2 or x=3x=3
    • B. x=−2x=-2 or x=−3x=-3
    • C. x=2x=2 (repeated) or x=−3x=-3
    • D. x=−2x=-2 (repeated) or x=3x=3

  5. 5. Given that (x+1)(x+1) is a factor of x3+2x2−5x−6x^3+2x^2-5x-6, which is the complete factorisation?

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

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