SOLUTION: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = 4x3 + 7x + 7, D

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = 4x3 + 7x + 7, D      Log On


   

Question 1008058: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).
P(x) = 4x3 + 7x + 7, D(x) = 2x + 1
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The dividend, P(x), is missing a needed term for performing the polynomial division process, but is shown in this arrangement: 


         |________________________________________   
 2x+1    |     4x^3      0*x^2      7x      7
         |
         |_____________________




               2x^2      -x         4
         |_______________ _________________________   
 2x+1    |     4x^3      0*x^2      7x      7
         |
         |     4x^3      2x^2
         |_____________________
               0         -2x^2     7x
                         -2x^2     -x
                        ______________
                          0        8x       7
                                   8x       4
                                  _____________
                                   0        3

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