Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 2, and zeros 2-i and 3i. P(x) = (Simplify your answer.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 47PS
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Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 2, and zeros 2-i and 3i.
P(x) = (Simplify your answer.)
Find all zeros of the following polynomial function.
P(x) = 2x* - 9x° + 17x? – 19x - 15
The zeros of P(x) are
(Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the
expression.)
Find all zeros of the polynomial function given below.
P(x) = 5x5 – 51x* + 140x³ – 76x² + 135x - 25
All zeros of the polynomial function P(x) are
(Use a comma to separate answers as needed. Express complex numbers in terms of i.)
Find an equation of a polynomial function of least degree having the given complex zeros, intercepts, and graph.
t has complex zeros i and 6 i.
36
-400-
The polynomial function with the given characteristics is f(x) =|
(Type your answer in factored form. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 2, and zeros 2-i and 3i. P(x) = (Simplify your answer.) Find all zeros of the following polynomial function. P(x) = 2x* - 9x° + 17x? – 19x - 15 The zeros of P(x) are (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression.) Find all zeros of the polynomial function given below. P(x) = 5x5 – 51x* + 140x³ – 76x² + 135x - 25 All zeros of the polynomial function P(x) are (Use a comma to separate answers as needed. Express complex numbers in terms of i.) Find an equation of a polynomial function of least degree having the given complex zeros, intercepts, and graph. t has complex zeros i and 6 i. 36 -400- The polynomial function with the given characteristics is f(x) =| (Type your answer in factored form. Use integers or fractions for any numbers in the expression.)
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