If the coefficients of $x$ and $x^2$ in $(1+x)^p(1-x)^q$ are 4 and -5 respectively, then $2 p+3 q$ i

Question

If the coefficients of $x$ and $x^2$ in $(1+x)^p(1-x)^q$ are 4 and -5 respectively, then $2 p+3 q$ is equal to

Professor PC Thomas Classes · Answer

Polynomial coefficient matching isolates parameter tracking resolving identical bounding constraints.