# Polynomial Function

Section 4.2 7. (8 points)
p(x)=x 6−5 x 3−x 7−4+x 2−3.2 x Use p(x) above as the polynomial.
Complete the sentences with a number and more/fewer. (For example: If p(x)=x+1 “p might have 4 real zeroes, but there may be more.” This answer is in the right format, but it is a wrong answer.) a. If I know nothing more about this polynomial other than its degree, then I could believe that there might be _____ real zeroes.

After learning more, I might discover that this polynomial could has exactly this many real zeroes, but there might be ______ (more/fewer). b. If I know nothing more about this polynomial other than its degree, then I could believe that there might be _____ x-intercepts. After learning more, I might discover that this polynomial could has exactly this many x-intercepts, but there might be _______ (more/fewer). c. If I know nothing more about this polynomial other than its degree, then I could believe that there might be _____ turning points. After learning  more, I might discover that this polynomial could has exactly this many turning points, but there might be _______ (more/fewer). d. If I know nothing more about this polynomial other than its degree, then I could believe that there might be _____ relative extrema (that is, relative max or min). After learning more, I might discover that this polynomial could has exactly this many relative extrema, but there might be _______ (more/fewer). e. The y-intercept of this polynomial is ________ .

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