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So multiplicity of a zero,  is the power of the factor that gives that zero, in this case it is power of  (x-2).  1- We know, Y = (x-2)3 (x+1)2 has two zeros, 2 and -1 1a - what is multiplicity of 2 as a zero for above y? why? 1b - what is multiplicity of -1 as a zero for above y? why? 2- what are zeros and their multiplicity for y = -2 x3 (x-4)5

So multiplicity of a zero,  is the power of the factor that gives that zero, in this case it is power of  (x-2).  1- We know, Y = (x-2)3 (x+1)2 has two zeros, 2 and -1 1a - what is multiplicity of 2 as a zero for above y? why? 1b - what is multiplicity of -1 as a zero for above y? why? 2- what are zeros and their multiplicity for y = -2 x3 (x-4)5

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 9CT
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Note, Zero for y= x-2   is 2

Zero for y=(x-2)3    is 2 . However we say its multiplicity is 3. which is the power of (x-2) factor.

So multiplicity of a zero,  is the power of the factor that gives that zero, in this case it is power of  (x-2). 

1- We know, Y = (x-2)3 (x+1)2 has two zeros, 2 and -1

1a - what is multiplicity of 2 as a zero for above y? why?

1b - what is multiplicity of -1 as a zero for above y? why?

2- what are zeros and their multiplicity for y = -2 x3 (x-4)5

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