Partial fractions

Partial fractions Quiz

Spec 2.1 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. x+7(x−1)(x+3)=Ax−1+Bx+3\frac{x+7}{(x-1)(x+3)}=\frac{A}{x-1}+\frac{B}{x+3}. Find BB.

    • A. 11
    • B. −1-1
    • C. 22
    • D. −2-2

  2. 2. What is the correct form of the partial fractions of x+5(x−1)2(x+2)\frac{x+5}{(x-1)^2(x+2)}?

    • A. A(x−1)2+Bx+2\frac{A}{(x-1)^2}+\frac{B}{x+2}
    • B. Ax−1+Bx+2\frac{A}{x-1}+\frac{B}{x+2}
    • C. Ax−1+B(x−1)2+Cx+2\frac{A}{x-1}+\frac{B}{(x-1)^2}+\frac{C}{x+2}
    • D. Ax−1+B(x−1)2+C(x+2)2\frac{A}{x-1}+\frac{B}{(x-1)^2}+\frac{C}{(x+2)^2}

  3. 3. x2+1x2−1=P+Ax−1+Bx+1\frac{x^2+1}{x^2-1}=P+\frac{A}{x-1}+\frac{B}{x+1}. Find PP.

    • A. 11
    • B. 00
    • C. −1-1
    • D. 22

  4. 4. Find ∫62x+1 dx\int\frac{6}{2x+1}\,\mathrm{d}x.

    • A. 6ln⁡∣2x+1∣+c6\ln|2x+1|+c
    • B. ln⁡∣2x+1∣+c\ln|2x+1|+c
    • C. 12ln⁡∣2x+1∣+c12\ln|2x+1|+c
    • D. 3ln⁡∣2x+1∣+c3\ln|2x+1|+c

  5. 5. 9(x+2)(x−1)2=Ax+2+Bx−1+C(x−1)2\frac{9}{(x+2)(x-1)^2}=\frac{A}{x+2}+\frac{B}{x-1}+\frac{C}{(x-1)^2}. Find CC.

    • A. 11
    • B. −1-1
    • C. 33
    • D. 99

Quiz