Answer: It is possible to root hibiscus from cuttings. Here are some general guidelines:
Use a well-drained, porous medium for starting your cuttings. Select 5" or 6" cuttings and remove leaves along the bottom inch of the stem. Have your soil moist but not wet. With a pencil make a small hole in the soil to receive the cutting. A rooting hormone may be helpful. Place the cutting in the hole, then cover the entire container with a plastic bag. Put 2 or 3 holes in the bag for ventilation. Use a stick to elevate the plastic bag so that it does not touch cuttings and also to prevent rain water from collecting and smashing cuttings.
I like to place my cuttings under a shrub or some place where they will get a little sun, but not too much. Do not bother the cuttings for 6 to 8 weeks. After that time they should have rooted.
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