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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
8
x
2
+
15
x
+
12
x
+
4
−
(
5
x
+
2
)
{\displaystyle \frac{ 8 x^2 + 15 x + 12 }{ x + 4 } - (5 x + 2)}
x
+
4
8
x
2
+
15
x
+
12
−
(
5
x
+
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8
x
2
+
15
x
+
12
x
+
4
<
5
x
+
2
\frac{ 8 x^2 + 15 x + 12 }{ x + 4 } < 5 x + 2
x
+
4
8
x
2
+
15
x
+
12
<
5
x
+
2
[3]
Answer
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