Instructor-created question Use the factored form of the polynomial to determine

Question

Instructor-created question Use the factored form of the polynomial to determine the zeros of the polynomial a) List the real zeros b) Determine the maxinum number of turning points of the graph 1o07(2+8) (+5)2 (a) Find any real zeros of f Select the correct choice below and, if necessary. @a. The realzero(s) of fisare 0 B. There are no real zeros (b) The maximum number of turning points on the graph is in the answer box to complete your choice (Type an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed )

Explanation / Answer

f(x) = 7 ( x^2 + 8 ) (x^2 + 5)^2

real zeros of f are

7 ( x^2 + 8 ) (x^2 + 5)^2 = 0

x^2 + 8 = 0

x ^2 = -8

x = +- i sqrt 8

x^2 + 5 = 0

x^2 = -5

x = +- i sqrt 5

this function has no real zeros

b) the degree of function is

6

so , maximum number of turning points are 6-1 = 5

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