Divide f(z) by d(z). Write a summary statement in fraction form. f(z)=2z^4−9z^3+17z^2−46z−29; d(z)=z^2−z+7

You need to do this by algebraic long division.

 

https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-division

or

http://www.mathsisfun.com/algebra/polynomials-division-long.html

 

I have done it but I have not check my answer - anyway I got

 

$$(2z^2-5z-2)\;\;+\;\dfrac {7z-15}{z^2-z+7}$$