Hi
Firstly any property within 10 feet of mature poplar trees, has a high chance of suffering from subsidence. If the houses are built on clay, and of the older type
with foundations being perhaps only 12 inches of concrete - or less, your chances of problems are virtually guaranteed!!
Firstly if your house is built in brick, do the cracks follow the mortar lines, if so maybe your problem is less severe.. however if the cracks go through the bricks themselves i would guess the only answer is expensive underpinning.. Even if you repoint the cracks, the mortar will be new and obvious to most purchasers, and all mortgage valuers worth their salt.. if the house is rendered you have a better chance of completely covering your repairs, again the test here is does the crack just affect the render or does it go into the brick or stone beneath..once the render is repaired external redecoration will hopefully hide the secret..
My advice, if subsidence has occured, try selling at auction.. This is where most problem properties end up..
Cutting tree roots wont cure your problem i'm afraid.. i have been a professional gardener for 20 + years and have seen many cases like this.. Even removing the trees completely may cause the opposite of subsidence, which is heave, and is just as damaging, if not more so..
As a full time landlord now, buying property on shrinkable clay in Milton Keynes, i always never never buy any property close to damaging large trees.. two of the worst are poplar and willow.. leylandii conifers are also big culprits, as they are so often planted right upto property and then left to grow; and grow they do at 3 feet plus a year, reaching 100 foot plus in thirty years.
Let us know the type of cracks your house has, which will help with advice been given.. i would be very surprised to find structural surveyors who would gloss over subsidence, i think your agent being naive.. All the best