# Expressing arbitrary quadratic bezier curve in polynomials

I have a question on an exam paper that I cannot find the answer anywhere to; I am assuming it is to do with expressing a Bezier curve in Bernstein polynomials, but other than that I am lost. There is a mention of it Bezier Polynomial Form here but it does not help me in the slightest.

The question is:

Using the fact that ((1-t) + t) = 1 show how an arbitrary quadratic Bezier curve

r(t) = (1-2)²r0 + 2t(1-t)r1 + t²r2

may be expressed in the cubic Bezier basis comprising the 4 polynomials

{(1-t)³, 3t(1-t)², 3t²(1-t), t³}

Any help would be greatly appreciated.

-
 Turns out I simply had to multiply each value by ((1-t) + t), which results in those 4 polynomials. – meatcat Jun 10 '12 at 14:21