Given that x^3+ x²+5=(1-2) (x+4)
find Remainder, if it exists when:
f(x-1)/f(x) is divided by (x-2)
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4
Answer:
f(x)=q(x)g(x)+r(x)
∴f(x)=(x−2)(x−1−x
2
)+3
⇒f(x)=x(x−1−x
2
)−2(x−1−x
2
)+3
=x
2
−x−x
3
−2x+2+2x
2
+3
=−x
3
+3x
2
−3x+5
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