 to the data set, the one you don't really need. The polynomial is still interpolating regarding the initial set, but by moving that extra point you now gain extra control over that polynomial.
	</p>
	<h2>
Why not have both?
	</h2>
	<p>
One of the frequently asked questions is “can we have a polynomial that runs through some chosen points and approximates the rest of the data set as well?”
	</p>
	<p>
The answer is: yes, but... We don't have a nice simple formula to do that so we have to either go numeri