The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots 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 roots in order to identify one actual root. One rational root of the given equation is 0. (Simplify your answer.) c. Use the root from part (b) and solve the equation. The solution set of x³ -5x²-9x +45-0 is. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comm separate answers as needed.)

The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots 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 roots in order to identify one actual root. One rational root of the given equation is 0. (Simplify your answer.) c. Use the root from part (b) and solve the equation. The solution set of x³ -5x²-9x +45-0 is. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comm separate answers as needed.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.4: Real Zeros Of Polynomials

Problem 1E: If the polynomial function Px=anxn+an-1xn-1++a1x+a0 has integer coefficients, then the only numbers...

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