SOLUTION: Find the remainder when {{{ 3x^4+2x^3-x^2/3-x/9+2/27 }}} divided by {{{ x+2/3 }}}

Question 983557: Find the remainder when
divided by

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Multiply the dividend and the divisor by 27, simplify, and then use polynomial division.

divided by ;
All whole number coefficients, much easier to handle this way.

---

                  3x^3       0     -(1/3)x
             |_______________________________________
             |
27x-18    |    81x^4     54x^3    -9x^2     2
               81x^4     54x^3
                _______________
               0          0        -9x^2
                          0          0
                          _____________
                                    -9x^2     2
                                    -9x^2     6
                                    __________
                                      0      -4

Quotient is .
RELATED QUESTIONS
Find the quotient and remainder when x^3 - 2x^2 + 3x - 4 is divided by... (answered by stanbon)

What is the remainder when 2x^3 + 3x^2 - 2x + 25 is divided by x+3... (answered by ReadingBoosters)

Find the quotient and remainder when x^2-5x+9 is divided by... (answered by vleith)

a polynomial f(x) with rational coefficients leaves remainder 15 when divided by x-3 and... (answered by KMST)

I need help with this problem: Find the quotient and remainder when x^3 - 2x^2 + 3x -... (answered by homeworkhelpanytime)

the polynomial (ax^3+3x^2-3) and (2x^3-5x+a) when divided by (x-4)leave the same... (answered by Gogonati)

Find the quotient and the remainder when 3x^4 - 5x^3 + 7x^2 -6x - 8 is divided by (x +... (answered by stanbon)

Use long division to find the quotient and remainder when f(x)=x^4+5x^3+8x^2+3x−4 (answered by MathLover1)

When -3x^3 - 4 is divided by x + 2 , what is the... (answered by MathLover1,Theo,ikleyn)