Given:
6x^4 + 9x^3 - 11x^2 + 20 is divided by x + 2
a.)
To complete the given synthetic division table, we first carry down the leading coefficient and multiply the carry-down value by the zero of the denominator. We also carry the result up into the next column. The process is shown below:
Hence, the answer is shown above.
b)
We must note that the remainder is zero. Now, we write the answer in the form: quotient +remainder/(x+2)
So,
[tex]\frac{6x^4+9x^3-11x+20}{x+2}=6x^3-3x^2-5x+10+\frac{0}{x+2}[/tex]
