TMUA 2017 Paper 1 Q13 — Worked Solution

P1·Algebra & Surds·5.5Official · 2017 · Q13

binomial-expansioncoefficient-ratiointeger-optimisation

In the expansion of

(a + b x)^{5}

the coefficient of

x^{4}

8

times the coefficient of

x^{2}

. Given that

a

and

b

are non-zero positive integers, what is the smallest possible value of

a + b

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