The table lists all the real roots of a 6th degree polynomial p(x) and their multiplicity.multiplicity1X-√√51√53212Which general factorization correctly represents p(x)?a(x+√5)²(x-1)²(x-3)²a(x-√5)²(x-1)²(x-3)²Ⓒa(x-√3)(x+√3)(x-1)²(x-3)²O a(x-5)(x-1)²(x-3)²

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Answered: The table lists all the real roots of a…

The table lists all the real roots of a 6th degree polynomial p(x) and their multiplicity. multiplicity 1 2 1 2 X - √5 1 √5 3

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs

Problem 31E: Write a fourth degree polynomial function with real coefficients and the given zeros. i,1i

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Question

The table lists all the real roots of a 6th degree polynomial p(x) and their multiplicity.
multiplicity
1
X
-√√5
1
√5
3
2
1
2
Which general factorization correctly represents p(x)?
a(x+√5)²(x-1)²(x-3)²
a(x-√5)²(x-1)²(x-3)²
Ⓒa(x-√3)(x+√3)(x-1)²(x-3)²
O a(x-5)(x-1)²(x-3)²

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