SOLUTION: when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x) Please explain step by step I would really appreciate any help please help soon

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x) Please explain step by step I would really appreciate any help please help soon      Log On


   

Question 171940: when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x)
Please explain step by step
I would really appreciate any help
please help soon!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x)
P(x)/(2x+1) = x^2-x+4 + 3/(2x+1)
Multiply thru by 2x+1 to get:
P(x) = (2x+1)(x^2-x+4) + 3
P(x) = 2x^3 -2x^2 + 8x + x^2 -x + 4 + 3
P(x) = 2x^3 -x^2 + 7x + 7
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Cheers,
Stan H.