Story highlights Overall, Trump is deeply underwater regarding his handling of the health care fight

On another big agenda item, tax reform, Trump faces a similarly skeptical public

(CNN) A new poll shows significant resistance to Republicans' plans on health care and tax reform -- and that majorities disapprove of the way President Donald Trump has handled those policy fights.

The poll, released Thursday by Quinnipiac University , found that just 21% of American voters approve of House Republicans' bill to repeal and replace Obamacare, while 56% oppose it.

The poll also found that a wide majority oppose a key plank of the GOP health care plan -- allowing states to weaken coverage protections for individuals with pre-existing conditions.

According to the poll, 64% approve of the Obamacare provision that prevents health insurance companies from charging people more for pre-existing conditions. And 75% say it's a "bad idea" to allow states to decide whether individuals with pre-existing conditions can be charged more -- including 59% of Republicans.

Overall, Trump is deeply underwater regarding his handling of the health care fight -- 66% disapprove, while 28% approve.

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