Let $$$\mathrm{f}(x)=\frac{14-3 x+2 x^{2}}{(2+x)\left(3+x^{2}\right)}$$$. Express $$$\mathrm{f}(x)$$$ in partial fractions. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_32 Year：2021 Question No：9(a)

Answer:

State or imply the form $\frac{A}{2+x}+\frac{B+C x}{3+x^{2}}$
Use a correct method for finding a constant
Obtain one of $A=4, B=1$ and $C=-2$
Obtain a second value
Obtain the third value

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