Question 946096
the variable names have to be the same.
i'll use x instead of r and h.
i will also re-sort the terms so that the higher order term is to the left of the lower order term.


your equation becomes:


(4x^3 + 4x^2 - 7x - 6) divided by (2x + 3).


in order to perform synthetic division, the divisor has to be a first order expression and the coefficient of the leading varikable has to be 1.


you accomplish this by dividing both numerator and denominator by 2.


you equation becomes:


(2x^3 + 2x^2 - (7/2)x - 3) / (x + (3/2))


you can now perform the synthetic division as shown below:


<img src = "http://theo.x10hosting.com/2015/020901.jpg" alt = "$$$" </>


the normal division gets you the same answer as shown below:


<img src = "http://theo.x10hosting.com/2015/020902.jpg" alt = "$$$" </>


if you need a tutorial on how to do normal division and how to do synthetic division, these are good sources:


<a href = "http://www.purplemath.com/modules/polydiv2.htm" target = "_blank">http://www.purplemath.com/modules/polydiv2.htm</a>


<a href = "http://www.purplemath.com/modules/synthdiv.htm" target = "_blank">http://www.purplemath.com/modules/synthdiv.htm</a>