Haven't read the article, but I do know a bit about these curves. Bézier curves do indeed use the "binomial polynomial" for both x and y. That polynomial defi

Haven't read the article, but I do know a bit about these curves. Bézier curves do indeed use the "binomial polynomial" for both x and y. That polynomial defines how the control points are used (with t) to calculate the point on the curve. So for the simplest example, a linear Bézier curve, the curve is a straight line from the first control point to the second.