SOLUTION: Using synthetic division, how do I determine whether the first expression is a factor of the second? If it is, how do I indicate factorization? x-2, 4x^3-3x^2-8x+4

Question 1136876: Using synthetic division, how do I determine whether the first expression is a factor of the second? If it is, how do I indicate factorization?
x-2, 4x^3-3x^2-8x+4
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

divide by
The synthetic division table is:

Step 1 : Write down the coefficients of the polynomial . Put the zero from => at the left.

| ...............
Step 2 : Bring down the leading coefficient to the bottom row.
| ...............
_______________________________________________________
.......... ....

Step 4 : Add down the column:
| ...............
......................
______________________________________________________
.......... ....

Step 5 : Multiply by the number on the left, and carry the result into the next column:

| ...............
............................
______________________________________________________
.......... ....

Step 6 : Add down the column:

| ...............
............................
______________________________________________________
.......... ...........

Step 7 : Multiply by the number on the left, and carry the result into the next column:

| ...............
.................................
______________________________________________________
.......... ...........

Step 8 : Add down the column:

| ...............
.................................
______________________________________________________
.......... ................

Bottom line represents the polynomial quotient with a remainder of .

So we have:

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