While Obama emphasised that he was willing to bypass Congress and take executive action to accomplish his goals in his second innings, a CNN/ORC International survey indicated that only three in 10 said Obama should make unilateral changes to deal with major issues.
Forty-four per cent of speech watchers questioned in the poll had a very positive reaction, with 32 per cent saying they had a somewhat positive response and 22 per cent with a negative response.
The figure was slightly lower than the 48 per cent who said they had a very positive reaction to then President George W. Bush's State of the Union address in 2006, as he began his sixth year in the White House.
During his address, the President told lawmakers that "I'm eager to work with all of you. But America does not stand still, and neither will I. So wherever and whenever I can take steps without legislation to expand opportunity for more American families, that's what I'm going to do."
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Nearly seven in 10 said that the President's proposals would move the country in the right direction, CNN reported.
The CNN Poll was conducted by ORC International after Obama's address, with 371 adult Americans who watched the speech. The survey's sampling error is plus or minus 5 percentage points.