7. Five mark example problems IV

If the quotient on dividing \(x^4 + 10x^3 + 35x^2 + 50x + 29\) by \((x + 4)\) is \(x^3 - ax^2 + bx + 6\), then find the value of \(a\), \(b\) and also remainder.

 

Answer:

 

\(a =\)

 

\(b =\)

 

Remainder \(=\)