Which of the following is a COMPLETE list of all possible Rational Zeros?
Options
A
±1, ±2, ±4, ±1/3
B
±1, ±2, ±1/3
C
±1, ±1/3, ±2, ±2/3, ±4, ±4/3
D
±1, ±2, ±3, ±4
Answer & Analysis
Answer
C
Analysis
For a polynomial function , the possible rational zeros are of the form , where is a factor of the constant term and is a factor of the leading coefficient .
For , the leading coefficient is 3 and the constant term is 4.
The factors of 4 are ±1, ±2, ±4.
The factors of 3 are ±1, ±3.
So the possible rational zeros are , where is a factor of 4 and is a factor of 3.
When , we have and
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