$$\( \operatorname{Let} \mathrm{f}(x)=\frac{15-6 x}{(1+2 x)(4-x)} \)$$. Express $$\(\mathrm{f}(x)\)$$ in partial fractions. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s21_qp_33 Year:2021 Question No:4(a)

Answer:

State or imply the form \(\frac{A}{1+2 x}+\frac{B}{4-x}\) and use a correct method to find a constant
Obtain one of \(A=4\) and \(B=-1\)
Obtain the second value

Knowledge points:

3.1.4.1 (ax + b)(cx + d)(ex + f)

Solution:

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