Find all the real zeros of $f ( x ) = 2 x ^ { 3 } - 6 x ^ { 2 } + 2 x - 6$ .
A)x = 3, $- \frac { 1 } { 3 }$
B)x = 2,1,-6
C)x = ± 1,3
D)x = 3
E)x = $\frac { 1 } { 2 }$ , $- \frac { 1 } { 6 }$

Question

Find all the real zeros of $f ( x ) = 2 x ^ { 3 } - 6 x ^ { 2 } + 2 x - 6$ .
A)​x = 3, $- \frac { 1 } { 3 }$
B)​x = 2,1,-6
C)​x = ± 1,3
D)​x = 3
E)​x = $\frac { 1 } { 2 }$ , $- \frac { 1 } { 6 }$

Quizplus · Accepted Answer

The polynomial can be factored or solved using the Rational Root Theorem, and the only real zero is x = 3.

Find All the Real Zeros Of f(x)=2x3−6x2+2x−6f ( x ) = 2 x ^ { 3 } - 6 x ^ { 2 } + 2 x - 6f(x)=2x3−6x2+2x−6

Find All the Real Zeros Of $f ( x ) = 2 x ^ { 3 } - 6 x ^ { 2 } + 2 x - 6$