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Answer:
or
Step-by-step explanation:
A polynomial function with 3 zeroes is going to be of degree 3, so we're going to have at least least 3 factors of the form , where <em>a </em>is a zero of the function. For three zeroes <em>a</em>, <em>b</em>, and <em>c</em>, we'd have the factors
and
, making our function look like
Substituting our roots for a, b, and c:
To write this function in standard form, we can expand from left to right:
At this point, we could either leave it as is, or group the coefficients for the and
terms to get