0606 P23 - Nov 2019 - Q3 - 8 marks
8378
The first four terms in the expansion of \((1+ax)^5(2+bx)\) are
\(2+32x+210x^2+cx^3,\)
where \(a\), \(b\) and \(c\) are integers. Show that
\(3a^2-16a+21=0\)
and hence find the values of \(a\), \(b\) and \(c\).
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