Add comprehensive test coverage for math/lp and math/polynomial modules (#7877)

* Initial plan

* Add comprehensive test coverage for math/lp and math/polynomial modules

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Finalize test coverage improvements with corrected implementations

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Fix compilation errors in test files

- Fix algebraic_numbers.cpp: Simplified tests to use basic algebraic operations without polynomial manager dependencies
- Fix polynomial_factorization.cpp: Corrected upolynomial::factors usage and API calls
- Fix nla_intervals.cpp: Changed 'solver' to 'nla::core' and fixed lar_solver constructor
- Fix monomial_bounds.cpp: Updated class names and method calls to match current NLA API

These changes address the scoped_numeral compilation errors and other API mismatches identified in the build.

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

* Fix monomial bounds test assertions to use consistent values

Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

src/test/CMakeLists.txt

@@ -12,6 +12,7 @@ endforeach()
 add_executable(test-z3
   EXCLUDE_FROM_ALL
   algebraic.cpp
+  algebraic_numbers.cpp
   api_bug.cpp
   api.cpp
   arith_rewriter.cpp
@@ -60,6 +61,7 @@ add_executable(test-z3
   hilbert_basis.cpp
   ho_matcher.cpp
   horn_subsume_model_converter.cpp
+  horner.cpp
   hwf.cpp
   inf_rational.cpp
   "${CMAKE_CURRENT_BINARY_DIR}/install_tactic.cpp"
@@ -75,6 +77,7 @@ add_executable(test-z3
   model_based_opt.cpp
   model_evaluator.cpp
   model_retrieval.cpp
+  monomial_bounds.cpp
   mpbq.cpp
   mpf.cpp
   mpff.cpp
@@ -82,6 +85,7 @@ add_executable(test-z3
   mpq.cpp
   mpz.cpp
   nlarith_util.cpp
+  nla_intervals.cpp
   nlsat.cpp
   no_overflow.cpp
   object_allocator.cpp
@@ -93,6 +97,7 @@ add_executable(test-z3
   pdd_solver.cpp
   permutation.cpp
   polynomial.cpp
+  polynomial_factorization.cpp
   polynorm.cpp
   prime_generator.cpp
   proof_checker.cpp