I don't understand the steps for doing synthetic division in college algebra

Try these sites.

http://www.purplemath.com/modules/synthdiv.htm

http://www.purplemath.com/modules/synthdiv2.htm

http://www.youtube.com/watch?v=bZoMz1Cy1T4

Graph the following function using transformations. Be sure to graph all of the stages on one

graph. State the domain and range.
For example, if you were asked to graph y= x^2+11 using transformations, you would show the
graph of y = x^2 and the graph shifted up 1 unit

Sure! I'd be happy to explain the steps for synthetic division in college algebra. Synthetic division is a simplified method used to divide a polynomial by a linear factor. Here are the steps:

Step 1: Write the polynomial in descending order of the variable.

Step 2: Identify the divisor, which is a linear factor of the polynomial. A linear factor is a binomial of the form (x-a), where 'a' is a constant.

Step 3: Set up the synthetic division tableau. Draw a horizontal line and write the coefficients of the polynomial above it, leaving any missing terms as zeros. For example, if the polynomial is 3x^3 - 2x^2 + 5x - 4, the tableau would look like this:

----------------------
| 3 | -2 | 5 | -4 |
----------------------

Step 4: Write the divisor on the left side of the tableau. For example, if the divisor is (x - 2), write -2 on the left side:

-2 | 3 | -2 | 5 | -4 |
----------------------

Step 5: Bring down the first coefficient below the horizontal line. In this case, bring down the coefficient 3:

-2 | 3 | -2 | 5 | -4 |
--------------

Step 6: Multiply the divisor (-2) by the value below the line (3), and write the result in the next column. In this case, (-2) * 3 = -6, so write -6:

-2 | 3 | -2 | 5 | -4 |
--------------
-6

Step 7: Add the corresponding coefficients from the polynomial to the result below the line. In this case, add -2 and -6 to get -8, so write -8:

-2 | 3 | -2 | 5 | -4 |
--------------
-6 | -8

Step 8: Repeat steps 6 and 7 until you have gone through all the coefficients of the polynomial. In this example, you would get:

-2 | 3 | -2 | 5 | -4 |
---------------
-6 | -8 | 3

Step 9: The value on the bottom right is the remainder. In this case, the remainder is 3.

Step 10: The values in the row above the remainder are the coefficients of the resulting polynomial after the division. In this case, the resulting polynomial is 3x^2 - 8x - 6.

That's it! You have successfully performed synthetic division.