Find all rational zeros of the polynomial
Rational zeros of the form satisfy the following: p divides the constant coefficient 4; q divides the leading coefficient 3. The choices for p are: , the only choices for q are: .
Thus p/q is one of the following:
Check each of these 12 candidates by plugging the values into the polynomial.
You see that only evaluates to 0.
If you have a graphing utility, you can reduce the checking:
Here is the graph again after zooming in on the root:
The only candidate left is . Since , x=-2/3 is indeed a rational zero.
The only rational zero is .
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Tue Jun 24 12:43:57 MDT 1997
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