Step one: You use the opposite term in the second set of parenthesis to use in your first synthetic division.
Step 2: Set up your problem by putting the term out side, and the other terms on the inside in order of the x’s. if there is a missing x put a zero in its place. 2 9 -18 -16 32
Step 3: You drop the first term down and then multiply the 2 outsides. After doing that you put it in the blank space underneath the second term. Add then repeat through the problem. 2 9 -18 -16 32 9 0 -16 0 18 0 -32 + + +
Step 4: Now take your answer and add the x’s using one less than when you started. Now factor the polynomial (3x+2) (3x-2) 9x^2-16
Step 5: Factor: include the original factor in your answer (3x+2) (3x-2) (x-2)