
Synthetic divison
i am stuck on this problem for my pre calc class. any help would be greatly appreciated.
Suppose you want to divide $\displaystyle 3x^42x^3+x^22x+5$ by $\displaystyle 2x+3$. How might you change this problem so that synthetic division can be used to get the correct answer?
i know that synthetic division can only be used if it is $\displaystyle (xc)$ because the coefficient of x may only be positive one. but thats it.
Thank you very much.

Solve for $\displaystyle 2x + 3 = 0$ and then use synthetic division. If you don't know what that is here is a good link for it. (It is at the bottom of the page)
The Remainder Theorem

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so i should divide $\displaystyle 3x^42x^3+x^22x+5$ by $\displaystyle 3/2$?

Yes. Read the bottom of the link I gave you in the earlier post to know how to set it up.
Latex hint: For fractions try using \frac{a}{b} it will come out like this $\displaystyle \frac{a}{b}$

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thanks, i read the page. also i was trying to figure out the codes for this site but never fully did. is there a web page or something explaining all of the codes?

Yes there is a very good tutorial for LaTeX here: About LaTeX

thank you had have a good day