Rational function/Mixed Taylor interpolation/1/Exercise

Let ${}f(x):={\frac {x^{2}-x+5}{x^{2}+3}}$. Determine a polynomial ${}h$ of degree ${}\leq 3$, with the property that its linear approximation at the points ${}x=0$ and ${}x=1$

coincide with those of ${}f$.

Create a solution