Ever wonder if you could root and grow roses from a branch of your favorite rose bush? Roses actually root rather easily. However most roses are grafted onto the rootstock of a different type of rose than the top, flowering portion, so the rose you root and grow may look nothing like the rose you started with. Grafting is done to improve strength, disease resistance, or hardiness, and even if you do get something resembling the parent rose you took your cutting from, it might not have that rose's hardiness. Rooting a rose cutting may not be hard to do, but it is something of a gamble.
I too, have tried the cut rose flower method, but haven't yet been successful--perhaps because there are chemical additives that the roses have soaked up, or because there are no nodes (which are the points where new shoots grow out), or because the stems have spent much of their energy producing the flowers...BUT, perhaps if the flowers were immediately cut off and some rooting hormones applied to the bottom cut ends, that may work.
There will be disappointments along the way, when many rose seeds fail to germinate, or perhaps they do germinate, only to die several weeks later from damp-off disease. Sometimes a rose seedling will turn out to be as ugly as sin, or very sickly, and you will reluctantly have to throw it away. Other times they will be just ho-hum, or look too much like its parent, and therefore have no value. But, just when you don't expect it, you might discover that one of your rose seedlings turns out to be very special.