(MCT) — LOS ANGELES — A month after an elementary school massacre pushed gun control back onto the public agenda, some of the key proposals being discussed remain a sore point between Democrats and Republicans, though two ideas are backed by large, bipartisan majorities, according to a poll released Monday.

About 85 percent of surveyed Americans favor background checks for private gun sales and transactions at gun shows, according to the Pew Research Center for the People and the Press. Four out of five Americans favor laws to prevent the mentally ill from buying weapons. Both findings had broad support across party lines.