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 1E: The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The...
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Question
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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