STEP 1Okay, so first things first, we need the error bound formula for Bernstein polynomial approximations.The error |f(x)-pn(x)| is often related to the second derivative of f(x).Specifically, if we know f(x) is bounded, meaning |f(x)|M for all x in 0,1, then we can use this inequality:|f(x)-pn(x)|M8nThis formula tells us how accurate our approximation is, depending on the size of M(max second derivative) and n(order of the polynomial).