Question

Divide using synthetic division. -6%29" id="TexFormula1" title="(x^{4} -x^{3} +3x^{2} -6x-6)" alt="(x^{4} -x^{3} +3x^{2} -6x-6)" align="absmiddle" class="latex-formula">÷$(x-2)$

Answer 1

Answer:

Quotient: $x^3+x^2+5x+4$

Remainder: 2

Step-by-step explanation:

To divide $x^4-x^3+3x^2-6x-6$ by $(x-2)$ by synthetic division, we write out the coefficients as shown below;

     1      -1       3       -6      -6

2|           2       2       10      8

     1       1       5       4         2

The quotient is $x^3+x^2+5x+4$

The remainder is 2