4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...

4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 + 10? − 3 answer the following:

a. [2 pts] Determine whether the function represents a polynomial. Justify your answer.	b. [4 pts] Determine whether the function satisfies the Intermediate Value Theorem on the interval [0, 5]. Justify your answer.
c. [2 pts] Determine the number (quantity) of complex zeros that the function has, provided the each zero is counted by its multiplicity.	d. [4 pts] List all the possible rational zeros:	e. [2 pts] Use part (d) result and a calculator to find the actual rational zeros. List the zeros here: { ____________________ }
f. [4 pts] Use the previous result, synthetic division, long division, quadratic formula, or square root property to find all the remaining zeros of f(x).
g. [4 pts] Use the previous result to rewrite f(x) as a product of linear factors.

Expert Solution

milcah answered 2 years ago

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x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

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