In Problems 11–20, use the Remainder Theorem to find the remainder when f(x) is divided by x – c. Then use the Factor Theorem to determine whether x - c is a factor of f(x). \11. f(x) = 4x – 3x² – &r + 4; x - 2 13. f(x) = 3x - 6x³ – 5x + 10; x – 2 15. f(x) = 3x + 82x³ + 27; x + 3 12. f(x) = -4x³ + 5x² + 8; x + 3 14. f(x) = 4x* – 15x² – 4; x – 2 16. f(x) = 2x – 18x* + x² – 9; x + 3 18. f(x) = x - 16x* + x² – 16; x + 4 17. f(x) = 4x* – 64xª + x² – 15; x + 4 19. f(x) = 2x – xr³ + 2r – 1; x – 2 20. f(x) = 3x* + r - 3x + 1; x +:
In Problems 11–20, use the Remainder Theorem to find the remainder when f(x) is divided by x – c. Then use the Factor Theorem to determine whether x - c is a factor of f(x). \11. f(x) = 4x – 3x² – &r + 4; x - 2 13. f(x) = 3x - 6x³ – 5x + 10; x – 2 15. f(x) = 3x + 82x³ + 27; x + 3 12. f(x) = -4x³ + 5x² + 8; x + 3 14. f(x) = 4x* – 15x² – 4; x – 2 16. f(x) = 2x – 18x* + x² – 9; x + 3 18. f(x) = x - 16x* + x² – 16; x + 4 17. f(x) = 4x* – 64xª + x² – 15; x + 4 19. f(x) = 2x – xr³ + 2r – 1; x – 2 20. f(x) = 3x* + r - 3x + 1; x +:
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
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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