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For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false. (c) If r is a zero of polynomial P₁(x) of multiplicity k₁ and at the same time r is a zero of polynomial P₂(x) of multiplicity k₂, then r is a zero of polynomial P₁(x)P₂(x) of multiplicity k₁ + k2 .

For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false. (c) If r is a zero of polynomial P₁(x) of multiplicity k₁ and at the same time r is a zero of polynomial P₂(x) of multiplicity k₂, then r is a zero of polynomial P₁(x)P₂(x) of multiplicity k₁ + k2 .

College Algebra
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
Section3.2: Polynomial Functinos And Their Graphs
Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...
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For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false.

(c) If rr is a zero of polynomial P1(x)P1(x) of multiplicity k1k1 and at the same time rr is a zero of polynomial P2(x)P2(x) of multiplicity k2k2, then rr is a zero of polynomial P1(x)P2(x)P1(x)P2(x) of multiplicity k1+k2k1+k2.

For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false. (c) If r is a zero of polynomial P₁(x) of multiplicity k₁ and at the same timer is a zero of polynomial P₂(x) of multiplicity k₂, then r is a zero of polynomial P₁(x) P₂(x) of multiplicity k₁+k₂.
Transcribed Image Text:For each of the following, if it is true prove it and if it is not true give a specific example for which the statement is false. (c) If r is a zero of polynomial P₁(x) of multiplicity k₁ and at the same timer is a zero of polynomial P₂(x) of multiplicity k₂, then r is a zero of polynomial P₁(x) P₂(x) of multiplicity k₁+k₂.
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