SOLUTION: How do you work out this problem.(15x^3-2x^2+10x+12)/(3x+2)

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Question 771576: How do you work out this problem.(15x^3-2x^2+10x+12)/(3x+2)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Divide using whatever method works for you. Long division and synthetic division are two options. If you have to show your work, figure out which way of dividing your teacher expects.
Warning: When doing long division or synthetic division, although the calculation is the same, different countries may arrange the numbers and expressions in a different configuration.

Long division uses a lot of space on paper. Here's the way I would do it:

I sometimes do a kind of sideways long division like this:

(It may not make sense to a teacher, but I do it that way to save paper).

Either way, %2815x%5E3-2x%5E2%2B10x%2B12%29%2F%283x%2B2%29=5x%5E2-4x%2B6 for all x%3C%3E-2%2F3
For x=-2%2F3, 3x%2B2=0, so the expression %2815x%5E3-2x%5E2%2B10x%2B12%29%2F%283x%2B2%29 is undefined.