GunnarSturla
I guess we could create synthetic polymers and store them, but the scale of the problem is just so insanely massive. We'd need a place to store all that plastic (I don't even know where to begin to do the math, but we use around 10 gigatons of carbon each year [1] so it would take up some amount of space), and we'd also have to hope that bacteria won't develop that can digest it
[1] https://www.wri.org/insights/co2-emissions-climb-all-time-hi...
That leaves basically two solutions; capture the carbon from the air, which takes a lot of energy, or ship it with tankers. The first is being done (at a small scale) and the second is being worked on.
In an ideal world, we wouldn't have power plants that release carbon, but that's another discussion :)
Carbfix, has been researching the storage part for a while now, and they plan to import CO2 to their facilities in Iceland with tankers from European polluters (crazy idea, but apparently works out).
The fundamental problem is that the earth was in a balance, with regards to carbon; a bunch was trapped in biomass, and cycled through the carbon cycle [1]. Then humanity did two things; we destroyed a lot of carbon stores (with agriculture, deforestation and setting off soil erosion), and (more importantly) dug up and released even more carbon into the carbon cycle. It will not be enough for us to only trap it in biomass, we need to permanently remove it from the cycle.
We definitely need to do both, and storing carbon in biomass is probably more cost-effective currently, but if we're going to restore the balance, we'll need more than biomass.