Question: Are both Rhapidophyllum and Spartium flowering plants?

Context paragraphs:
Genista: Genista is a genus of flowering plants in the legume family Fabaceae, native to open habitats such as moorland and pasture in Europe and western Asia.  They include species commonly called broom, though the term may also refer to other genera, including "Cytisus" and "Chamaecytisus".  Brooms in other genera are sometimes considered synonymous with "Genista": "Echinospartum", "Retama", "Spartium", "Stauracanthus", and "Ulex".

Rhapidophyllum: Rhapidophyllum hystrix, the needle palm, is a palm, the sole member of the genus Rhapidophyllum.  It is native to the subtropical southeastern United States.  Endemic populations can be found from coastal southeast South Carolina, southward to Florida and west across the coastal plain of Mississippi and southern Alabama.  It is one of the most cold-hardy palms in the world, and can be found growing in several areas with warm temperate climates.

Spartium: Spartium junceum, commonly known as Spanish broom or weaver's broom, is a species of flowering plant in the family Fabaceae.

Supporting paragraphs: Rhapidophyllum Spartium
Answer: no