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Question : 19 of 160
Marks:
+1,
-0
Solution:
‌=‌+‌+‌ 1=A(x−2)(x−3)+B(x−1)(x−3)+C(x−1)(x−2) ZXWhen
x=2⇒1=−B When
x=3⇒1=2C When
x=1⇒1=2A A=‌,B=−1 and
C=‌ ‌=‌+‌+‌ x=P(x−2)(x−3)+Q(x−1)(x−3)+R(x−1)(x−2) When
x=2⇒2=−Q When
x=3⇒3=2R When
x=1⇒1=2P P=‌,Q=−2 and
R=‌ A+2B+3C=‌+(−2)+‌=0 P+Q+R=‌−2+‌=0
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