11. Five mark exercise problems I

If two polynomials \(2x^3 + ax^2 + 4x - 12\) and \(x^3 + x^2 - 2x + a\) leave the same remainder when divided by \((x - 3)\), find the value of \(a\) and also find the remainder.

 

Answer:

 

\(a =\)

 

Remainder \(=\)