Find one solution graphically and then find the remaining solutions using synthetic division.
-$$6 x ^ { 3 } + 22 x ^ { 2 } + 10 x - 6 = 0$$
A) $\frac { 1 } { 3 } , \frac { 1 } { 3 } , - 3$
B) $- 1 , - 3 , \frac { 1 } { 3 }$
C) $- 1 , \frac { 1 } { 3 } , 3$
D) $- \frac { 1 } { 3 } , - 3 , \frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

Graphically, one solution is $x = -1$. Using synthetic division with $x = -1$, the quotient is $6x^2 + 16x + 6$, which factors to $(3x + 1)(2x + 3)$, giving solutions $x = -\frac{1}{3}$ and $x = -3$.

Find One Solution Graphically and Then Find the Remaining Solutions 6x3+22x2+10x−6=06 x ^ { 3 } + 22 x ^ { 2 } + 10 x - 6 = 06x3+22x2+10x−6=0

Find One Solution Graphically and Then Find the Remaining Solutions $6 x ^ { 3 } + 22 x ^ { 2 } + 10 x - 6 = 0$