Find the remainder when 12 x
3
- 11 x
2
+ 9 x + 18 is divided by 4 x + 3
( by long division method )
Answers
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0
Answer:
f(x)=12x
3
−13x
2
−5x+7
When f(x) is divided by (3x+2) the remainder is f(−
3
2
). Now,
f(−
3
2
)=12(−
3
2
)
3
−13(−
3
2
)
2
−5(−
3
2
)+7
=12(−
27
8
)−13(
9
4
)+
3
10
+7
−
9
32
−
9
52
+
3
10
+7=
9
9
=1
∴ The remainder is 1.
Step-by-step explanation:
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