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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
4
x
2
+
5
x
+
3
x
+
1
−
(
2
x
+
4
)
{\displaystyle \frac{ 4 x^2 + 5 x + 3 }{ x + 1 } - (2 x + 4)}
x
+
1
4
x
2
+
5
x
+
3
−
(
2
x
+
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
4
x
2
+
5
x
+
3
x
+
1
>
2
x
+
4
\frac{ 4 x^2 + 5 x + 3 }{ x + 1 } > 2 x + 4
x
+
1
4
x
2
+
5
x
+
3
>
2
x
+
4
[3]
Answer
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