first blank: a. elimination b. cross multiplying c. synthetic division d. grouping : second blank: a. constant b. Quadratic Function c. cubic function d. linear function

After finding all of the possible rational roots for a polynomial function using the Rational Root Theorem, to find the actual roots you then need to start checking them one by one using + | until you find one. Then you will continue checking for additional roots using this process until you have reduced the polynomial down to a + |, where you can find the remaining roots using factoring or the quadratic formula