Polynomial/Zero/Linear approximation/Exercise

Determine for a polynomial

${}f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{2}x^{2}+a_{1}x+a_{0}\,$

the linear approximation (including the remainder function ${}r(x)$) in the zero point.

Create a solution