1) Construct the tree of the algebraic expression ((z + 3) ÷ (2 + y) × (w - (z + 7))
2) Use the tree that you constructed above. Show the result of performing a preorder search for ((x + 3) ÷ (2 + y) × (w - (x + 7)). Explain your answer.
3) Use the tree that you constructed above. Show the result of performing an inorder search for ((x + 3) ÷ (2 + y) × (w - (x + 7)). Explain your answer.
4) Use the tree that you constructed above. Show the result of performing an postorder search for ((x + 3) ÷ (2 + y) × (w - (x + 7)). Explain your answer.