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If x=2 is a root, then (x-2) is a factor. To find the other factor(s) we divide p(x) by (x-2). This is most easily done with synthetic division. (If you don't know synthetic division then use long division.)
2 | 2 -9 7 6
=== 4 -10 6
2 -5 -3 0
The remainder (in the lower right corner) in zero which means that (x-2) divided evenly. (We should have expected this since factors of something will divide evenly into it.) The rest of the bottom row tells us the other factor. "2 -5 -3" translates into
We can now use factoring techniques (trinomial factoring) to factor the second factor further:
p(x) is now fully factored.