Polar bear populations are actually doing quite well. Conservative estimates are around 20,000 - 25,000, although according to the IUCN's (International Union for Conservation of Nature) numbers, there may be
as many as 32,000. (See also
here) There's been an
increase of at least 2,500-5,000 bears since 2001 (i.e. this increase happening after the massive El Nino that sent world temperatures soaring in 1998).
There are
more polar bears now than at any other documented time. With some
claims that the population was as low as 5,000 50 years ago.
That's not even counting several of the polar bear regions (of which there are 19), like the Chuckchi region, which is listed offically as 0, but even the doom and gloom of this
article gives an estimate of 1,700 (although
here is some insight into the health of the Chuckchi polar bears).
And there are 6 other regions with no official numbers, which means even the generous 32,000 estimate may be far below the reality. On top of this, many official counts are several years old anyways. The one for the Baffin Bay population has
not been done in 17 years.
Meanwhile, because of the healthy bear populations, the Canadian government has been increasing the
quotas for polar bear hunting.
According to the Inuit in Nunuvat, the polar bears are even becoming a "nuisance" more so than at any other recent time. As populations continue to grow, some are forced into areas where food is more scarce, and these are the ones we point at as examples of looming extinction.
As a contrast to the OP's link, here's a
happy one telling us why we should be happy about the current trends of the polar bear population.