Mathematics, 18.03.2021 01:00 Kennethabrown09
1.Suppose we have a polynomial function with a zero at =−2with multiplicity 1 and a zero at=3with multiplicity2. There are no other zeros, complex or real, and the leading coefficient ispositive. a.Explain what the multiplicity tells us about each of the zeros. WHY is this the case?b. Use either arrow or limit notation to express the end behavior of the polynomial. Explain your thinking and what aspectsthe polynomial led you to this conclusion. c.Sketch apossiblegraph of thepolynomial based on the given information. d.Consider the y-intercept of the polynomial, do we know if it is positive, negative, or zero? Why or why not?e. We know that the number of turning points / local extrema of a polynomial is at most−1where is the degree of the polynomial. Based on yourgraph, is it possible that there are less than−1turning points / local extrema for our graph? Why or why not? f. Bonus: What do you think must be true abouta polynomialwith this degree in order for there to be less than−1turning points/ local extrema?What led you to that conclusion?
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1.Suppose we have a polynomial function with a zero at =−2with multiplicity 1 and a zero at=3with mu...
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