Divide using synthetic division, and write a summary statement in fraction form. 2x^5-x^4-3x^2-x+5/x-1

Question

aum · Answer

(2x^5 - x^4 - 3x^2 - x + 5) / (x - 1)
Note: The x^3 term is missing.  Introduce 0x^3 and the coeficients are:
2  -1  0  -3  -1  +5

1      2    -1    0    -3    -1    +5
                2    1     1     -2    -3
      --------------------------
        2      1    1    -2    -3      2

Quotient = 2x^4 + x^3 + x^2 - 2x - 3;    Remainder 2

(2x^5 - x^4 - 3x^2 - x + 5) / (x - 1) = 2x^4 + x^3 + x^2 - 2x - 3  + 2 / (x - 1)