Use synthetic division to divide.
-$$\frac { 5 x ^ { 3 } + 25 x ^ { 2 } + 23 x + 12 } { x + 4 }$$
A) $5 x ^ { 2 } + 5 x + 3$
B) $5 x + 5$
C) $- 5 x ^ { 2 } - 4 x + 3$
D) $\frac { 5 } { 4 } x ^ { 2 } + \frac { 25 } { 4 } x + \frac { 23 } { 4 }$

Question

Quizplus · Accepted Answer

To use synthetic division to divide $5x^3 + 25x^2 + 23x + 12$ by $x + 4$, we set up the division with -4 (the root of $x + 4 = 0$) and the coefficients of the polynomial (5, 25, 23, 12). The synthetic division process yields a quotient of $5x^2 + 5x + 3$, matching option A.

Use Synthetic Division to Divide 5x3+25x2+23x+12x+4\frac { 5 x ^ { 3 } + 25 x ^ { 2 } + 23 x + 12 } { x + 4 }x+45x3+25x2+23x+12​

Use Synthetic Division to Divide $\frac { 5 x ^ { 3 } + 25 x ^ { 2 } + 23 x + 12 } { x + 4 }$