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vhuyrtyy
12.01.2022 •
Mathematics
The polynomial -24X to the second power +332X -138 represents the average number of visitors per day to a park area, where X represents the months of the year. The average daily attendance at the park for the month of May is ? thousand visitors
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Ответ:
ANSWER
The y-intercept is (0,-12).
The x-intercepts are (1,0),(2,0) and (6,0).
EXPLANATION
The given polynomial function is
To find the y-intercept, we substitute x=0 to get:
This simplifies to
Therefore the y-intercept is (0,-12).
To find the x-intercepts we need to factor completely the given polynomial.
We use synthetic division to get the remaining factors. We carried the division in the attachment.
This implies that
The complete factorization is:
For x-intercepts, f(x)=0.
This implies that, x=1,2,6.
The x-intercepts are (1,0),(2,0) and (6,0).