What is the Polynomial P(x) Given a Specific Quotient and Remainder?

[missnerdist]

I can't seem to figure this out.

When a polynomial P(x) is divided by (2x+1) the quotient is x^2-x+2 and the remainder is 5. What is P(x)?

 

[S.G. Janssens]

A hint: When 7 is divided by 3 the quotient is 2 and the remainder is 1.

 

[HallsofIvy]

If P divided by A has quotient Q with remainder R, P/A= Q+ R/A, then P= AQ+ R. You are told what A, Q, and R are. Just do the algebra to find P.