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Functions, rational roots, and synthetic division

Functions, rational roots, and synthetic division

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Functions, rational roots, and synthetic division 

The following function is given. f(x) = 5x3 - 7x2 - 45x + 63 a. List all rational zeros that are possible according to the Rational Zero Theorem. Choose the correct answer below. 3 9 7 21 63 O A. ±1, ± 3, ± 9, ± 7, ±21, ± 63, ± 5 7 21 63 B. +1, ±3, +6, ± 7, ±21, ± 63, ± 55 1 1 O C. +1, ±5, ± 3 9' 7' 3 7 21 21 63 63 1 5 1 5 O D. +1,+5, ± 3 3 6. 6. 7 7 21 21 63 63 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) = 5x - 7x2 - 45x + 63 are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) -IN
Transcribed Image Text:The following function is given. f(x) = 5x3 - 7x2 - 45x + 63 a. List all rational zeros that are possible according to the Rational Zero Theorem. Choose the correct answer below. 3 9 7 21 63 O A. ±1, ± 3, ± 9, ± 7, ±21, ± 63, ± 5 7 21 63 B. +1, ±3, +6, ± 7, ±21, ± 63, ± 55 1 1 O C. +1, ±5, ± 3 9' 7' 3 7 21 21 63 63 1 5 1 5 O D. +1,+5, ± 3 3 6. 6. 7 7 21 21 63 63 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) = 5x - 7x2 - 45x + 63 are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) -IN
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