FIND A POLYNOMIAL OF DEGREE 4 WITH 3 AS A ZERO OF MULTIPLICITY 2,-4,AND 6 AS ZEROS OF MULTIPLICITY 0F 1 _________________________

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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FIND A POLYNOMIAL OF DEGREE 4 WITH 3 AS A ZERO OF MULTIPLICITY 2,-4,AND 6 AS ZEROS OF MULTIPLICITY 0F 1 _________________________

 

Expert Solution
Step 1

If a polynomial function, f(x) has roots or zeroes of r1, r2, r3,r4 then the polynomial function can be written in the form,

f(x) = a(x-r1)(x-r2)(x-r3)(x-r4)

 

Given,

r1 = 3

r2 = 3

r3 = -4

r4 = 6

 

Since we need to find any polynomial satisfying the given conditions, a can be any value, lets consider a =1.

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