number 4 only (act4) Activity 4. Prove and Solvelll,Application of the Remainder and Factor TheoremDirections; Use the remainder theorem and factor theorem to determine if x-r is a factor of f(x).Expressed your answer in factored form (Prove your answer and include your solution)1. f(x) = 4x3 - 3x² - 30x + 9;r= 32. f(x) = 3x - 6x2 - 5x + 8;r= 13. f(x) = x-10x2 + 9;r= -14. f(x) = x -4x³ -9x2 + 16x+ 20;r= 25. f(x) = x3 + x2 -22x -40;

Put x=r to verify ,whether it is factor or not

Answered: 4. f(x) = x4 -4x -9x2 + 16x+ 20; r= 2

Math

Algebra

4. f(x) = x4 -4x -9x2 + 16x+ 20; r= 2

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 39E: Factor Theorem Use the Factor Theorem to show thatthe statement in the exercises is true. Show that...

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Question

number 4 only (act4)

Activity 4. Prove and Solvelll,
Application of the Remainder and Factor Theorem
Directions; Use the remainder theorem and factor theorem to determine if x-r is a factor of f(x).
Expressed your answer in factored form (Prove your answer and include your solution)
1. f(x) = 4x3 - 3x² - 30x + 9;
r= 3
2. f(x) = 3x - 6x2 - 5x + 8;
r= 1
3. f(x) = x-10x2 + 9;
r= -1
4. f(x) = x -4x³ -9x2 + 16x+ 20;
r= 2
5. f(x) = x3 + x2 -22x -40;

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