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