E-PA03 · A product identifies a paired solution
In \((1+ax)^5(1+bx)\), the coefficient of x is zero and the coefficient of \(x^2\) is \(-135\).
Obtain two equations for a and b.
Find all real pairs \((a,b)\).
The \(x^3\) coefficient is positive. Select the pair and state the coefficient.
Complete-answer checking, worked solutions and indicative written criteria.
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