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Is (x +3) a factor of the following polynomial? Why or why not? f(x) = 2x³ - 7x2 - 35x + 12. %3D

Is (x +3) a factor of the following polynomial? Why or why not? f(x) = 2x³ - 7x2 - 35x + 12. %3D

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 35
TUA CUTipietely 12x (x-4x) = 12x (x+2)(x-2)| 32. What is the factored form of f(x) =-2x' + 22x² + 52x f(x) =-2x+ 22x +52x 2x(x-13)(*-2) 2x(x*11X+ 26) 33. Is (x + 4) a FACTOR of f(x) = 2x³+ 5x² – 5x + 28? How do you know? f(x)= 2x+ 5x-5x+ 28 34. Is x = 3 a zero of the polynomial x³ – 21x + 20? Why or why not? 35. Is (x + 3) a factor of the following polynomial? Why or why not? f (x) = 2x3 -7x2-35x + 12. 36. Find the function in standard form of the polynomial that has the roots x = 1, 2 and -5 FCK) = (x-1) (x²+3X -10)-0 f(x)=x+ 2xー13x410 f(x) = (x-1)(x-2)(x+5)30 f(x) = (x-1) (x²- 2x +5x -10) =0 fCx)= x+3x-10x-x-31 +10=0 f(X) = x°+ 2x-13*T10=D0 37. Use the roots to write a function that might represent the graph to the right. 20+
Transcribed Image Text:TUA CUTipietely 12x (x-4x) = 12x (x+2)(x-2)| 32. What is the factored form of f(x) =-2x' + 22x² + 52x f(x) =-2x+ 22x +52x 2x(x-13)(*-2) 2x(x*11X+ 26) 33. Is (x + 4) a FACTOR of f(x) = 2x³+ 5x² – 5x + 28? How do you know? f(x)= 2x+ 5x-5x+ 28 34. Is x = 3 a zero of the polynomial x³ – 21x + 20? Why or why not? 35. Is (x + 3) a factor of the following polynomial? Why or why not? f (x) = 2x3 -7x2-35x + 12. 36. Find the function in standard form of the polynomial that has the roots x = 1, 2 and -5 FCK) = (x-1) (x²+3X -10)-0 f(x)=x+ 2xー13x410 f(x) = (x-1)(x-2)(x+5)30 f(x) = (x-1) (x²- 2x +5x -10) =0 fCx)= x+3x-10x-x-31 +10=0 f(X) = x°+ 2x-13*T10=D0 37. Use the roots to write a function that might represent the graph to the right. 20+
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