Question

Divide 2x2 + 7 - 3 by 2x + 5. Which expression represents the quotient and remainder?

Answer 1

I am assuming you made a typing error and are dividing 2x^2+7x-3 by 2x+5.  When you do that with long division, 2x goes into 2x^2   x times.  x times 2x is 2x^2 and x times 5 is 5x.  Subtracting that gives us -2x.  Bring down the 3 and divide 2x into -2x to get 1.  Multiply 1 times -2x to get -2x and 1 times 5 to get 5.  Subtract that and you have a remainder of 2.  The quotient is x - 1, with a remainder of 2, or $x-1R \frac{2}{2x+5}$