Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) = 0 has the given roots and no others. If the degree of f(x) is 7 or more, express f(x) in factored form; otherwise, a₁x +ão. express f(x) in the form an+an-1-!++ Root Multiplicity 4 2 5 3-i 3+1 1 3 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) = 0 has the given roots and no others. If the degree of f(x) is 7 or more, express f(x) in factored form; otherwise,
express f(x) in the form anx + an - 1 - ¹ + . . . + a₁× + ªo.
f(x) =
Root
Multiplicity
4
2
x
5
3
3-i
1
3+i
1
7- 29x6
29x6 +359x5 — 2461x4 + 10100x³ - 24850x³ +34000x - 20000
X
Transcribed Image Text:Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) = 0 has the given roots and no others. If the degree of f(x) is 7 or more, express f(x) in factored form; otherwise, express f(x) in the form anx + an - 1 - ¹ + . . . + a₁× + ªo. f(x) = Root Multiplicity 4 2 x 5 3 3-i 1 3+i 1 7- 29x6 29x6 +359x5 — 2461x4 + 10100x³ - 24850x³ +34000x - 20000 X
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