How do you find all rational zeroes of the function using synthetic division [Math Processing Error]?
1 Answer
The "possible" rational zeros are
The actual zeros are:
Explanation:
Given:
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First note that all of the coefficients are divisible by
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By the rational roots theorem, any rational zeros of
That means that the only possible rational zeros are:
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In addition note that the sum of the coefficients is
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So
We can use synthetic division to find:
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It looks something like this:
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where the final
To factor the remaining quadratic, note that
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So:
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with zeros