Question

What must be added to the polynomial f(x)=14x 4 -37x 3 +26x 2 -17x+29 so that the resulting polynomial is divided by g(x)=2x 2 -5x+3?

Answer 1

If f(x)÷g(x) and the remainder will be added to f(x) than that number will be perfectly divided by g(x )
therefore the remainder will be 29-14x.
p(x)-(29-14x)= 14x^4-37x^3+26x^2-3x