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Use the Rational Zeros Theorem to Determine the Potential Rational f(x)=6x4+4x33x2+2f ( x ) = 6 x ^ { 4 } + 4 x ^ { 3 } - 3 x ^ { 2 } + 2

Question 56

Multiple Choice

Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros.
- f(x) =6x4+4x33x2+2f ( x ) = 6 x ^ { 4 } + 4 x ^ { 3 } - 3 x ^ { 2 } + 2


A) ±16,±13,±12,±1,±2\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2
B) ±16,±13,±12,±23,±1,±2\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2
C) ±12,±32,±1,±2,±3,±6\pm \frac { 1 } { 2 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6
D) ±16,±13,±12,±23,±1,±2,±3\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2 , \pm 3

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