The following equation is given. Complete parts (a)(c). x3 - 2x2 - 25x + 50 = 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 (Simplify your answer.) c. Use the root from part (b) and solve the equation. The solution set of x - 2x2 - 25x + 50 = 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 comma to separate answers as needed.)
The following equation is given. Complete parts (a)(c). x3 - 2x2 - 25x + 50 = 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 (Simplify your answer.) c. Use the root from part (b) and solve the equation. The solution set of x - 2x2 - 25x + 50 = 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 comma to separate answers as needed.)
Chapter5: Polynomial And Rational Functions
Section5.5: Zeros Of Polynomial Functions
Problem 2SE: Explain why the Rational Zero Theorem does notguarantee finding zeros of a polynomial function.
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Rational roots and synthetic division
Transcribed Image Text:The following equation is given. Complete parts (a)-(c).
x3 - 2x2 - 25x + 50 = 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
(Simplify your answer.)
c. Use the root from part (b) and solve the equation.
The solution set of x - 2x2 - 25x + 50 = 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 comma to separate
answers as needed.)
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