Which of the following is a COMPLETE list of all possible Rational Zeros?
Options
A
±1, ±1/3, ±1/9
B
±1, ±1/3, ±1/9, ±11/3, ±11/9
C
±1, ±1/3, ±1/9, ±11, ±11/3, ±11/9
D
±1, ±11, ±3
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 function , the leading coefficient is 9 and the constant term is -11.
The factors of -11 are ±1 and ±11.
The factors of 9 are ±1, ±3, and ±9.
So, the possible rational zeros are , where is a factor of -11 and is a factor of 9.
When :
- If , we have .
- If , we have .
- If , we have .
When
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