Question 629286
Short answer. Find the quotient:
6x^3+7x^2-5x+2/(2x+3)
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solve by long division:

...............3x^2......-x.......-1...... 
...2x+3|..6x^3....7x^2....-5x.....2
..............6x^3.....9x^2................
.........................-2x^2....-5x........
.........................-2x^2....-3x..........
.......................................-2x....2.
.......................................-2x..-3.
................................................5...
Quotient: (3x^2-x-1) +remainder=5