E-PA02 · Infer an integer exponent
For \((1+ax)^n\), n is an integer at least 3 and a is nonzero. The coefficients of x and \(x^2\) are \(-15\) and 90.
Write two equations for n and a.
Find n and a, checking the restrictions.
Find the coefficients of \(x^3\) and \(x^4\).
Complete-answer checking, worked solutions and indicative written criteria.
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