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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
12
x
2
+
7
x
+
4
x
+
2
−
(
3
x
+
2
)
{\displaystyle \frac{ 12 x^2 + 7 x + 4 }{ x + 2 } - (3 x + 2)}
x
+
2
12
x
2
+
7
x
+
4
−
(
3
x
+
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
12
x
2
+
7
x
+
4
x
+
2
>
3
x
+
2
\frac{ 12 x^2 + 7 x + 4 }{ x + 2 } > 3 x + 2
x
+
2
12
x
2
+
7
x
+
4
>
3
x
+
2
[3]
Answer
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