E-PR01 · Build a coefficient and then remove it
Let \(P(x)=(1+2x)^5(1-3x)^2\).
Write the terms through \(x^2\) in each factor.
Find the coefficients of \(x^2\) and \(x^3\) in P.
Find k so that the coefficient of \(x^3\) in \((1+kx)P(x)\) is zero.
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