SOLUTION: Hello. My question is When a polynomial P(x) is divided by 2x+1, the quotient is {{{x^2-x+4}}} and the remainder is 3. Find P(x). Thanks in advance.

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Question 478857: Hello. My question is When a polynomial P(x) is divided by 2x+1, the quotient is and the remainder is 3. Find P(x). Thanks in advance.
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
My question is When a polynomial P(x) is divided by 2x+1, the quotient is and the remainder is 3 


Multiply through by (2x+1)







Checking:

             x² -  x + 4 
2x + 1)2x³ - x² + 7x + 7
       2x³ + x²
           -2x² + 7x
           -2x² -  x
                  8x + 7
                  8x + 4
                       3

Edwin
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