50. Exemplar Exercise Problems XXIII

The polynomial \(p(x) = x^4 – 2x^3 + 3x^2 – ax + 3a – 7\) when divided by \(x + 1\) leaves the remainder \(19\). Find the values of \(a\). Also find the remainder when \(p(x)\) is divided by \(x + 2\). 

 

\(a=\)

 

Required remainder \(=\)