Use synthetic division to divide f(x)by x - c, and then write f(x)in the form f(x)= (x - c)q(x)+ r.
-$$f ( x ) = x ^ { 3 } - x ^ { 2 } + 3 ; x + 2$$
A) $( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 0$
B) $( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 2$
C) $( x + 2 ) \left( x ^ { 2 } + x + 2 \right) - 9$
D) $( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 9$

Question

Quizplus · Accepted Answer

Using synthetic division with $c = -2$, the quotient is $x^2 - 3x + 6$ and the remainder is $-9$.

Use Synthetic Division to Divide F(x)by X - C, and Then