Synthetic Division with Matlab

Purpose:
Perform synthetic division of the rational function N(x)/D(x), where
N(x), the numerator, is a polynomial of degree n, expressed by
N(x) = a(n)*x^n + a(n-1)*x^(n-1) + ... + a(1)*x + a0
D(x), the denominator, is expressed by
D(x) = x - k, k=constant.
Usage: synthDiv
You will be prompted to enter coefficients for the polynomial N(x),
and the value for k. You should enter a complete polynomial,
with zero coefficients for missing powers of x.
Example:
Evaluate (x^5 + 3*x^4 + 2*x^3 - 7*x + 8)/(x+2)
That is,
N(x) = x^5 + 3*x^4 + 2*x^3 + 0*x^2 - 7*x + 8 (degree is n=5)
D(x) = x+2 (k = -2)

The coefficients for N(x) are 1,3,2,0,-7,8
Note that all coefficients for N(x) are required.
The quadratic term x^2 is absent, therefore it has a coefficient of 0.