The following function is given. f(x) = x° - 5x2 - 9x + 45 .... a. List all rational zeros that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is (Simplify your answer.) c. Use the zero from part (b) to find all the zeros of the polynomial function. The zeros of the function f(x) = x - 5x2 - 9x + 45 are. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 3ECP
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The following function is given.
f(x) = x° - 5x2 - 9x + 45
....
a. List all rational zeros that are possible according to the Rational Zero Theorem.
(Use a comma to separate answers as needed.)
b. Use synthetic division to test several possible rational zeros in order to identify one actual zero.
One rational zero of the given function is
(Simplify your answer.)
c. Use the zero from part (b) to find all the zeros of the polynomial function.
The zeros of the function f(x) =x³ - 5x2 - 9x + 45 are.
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)
Transcribed Image Text:The following function is given. f(x) = x° - 5x2 - 9x + 45 .... a. List all rational zeros that are possible according to the Rational Zero Theorem. (Use a comma to separate answers as needed.) b. Use synthetic division to test several possible rational zeros in order to identify one actual zero. One rational zero of the given function is (Simplify your answer.) c. Use the zero from part (b) to find all the zeros of the polynomial function. The zeros of the function f(x) =x³ - 5x2 - 9x + 45 are. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)
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