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3. P(x) is a polynomial of degree 6 with real coefficients and zeros x= 2 and x = 6i . The zero x = 2 has multiplicity 4 and P(x) has a leading coefficient of – 3. a. Write P(x) in factored form over the complex numbers. b. Write P(x) in factored form with irreducible factors over the real numbers. . c. Without using a calculator determine the end behavior of P(x). Explain your reasoning.

3. P(x) is a polynomial of degree 6 with real coefficients and zeros x= 2 and x = 6i . The zero x = 2 has multiplicity 4 and P(x) has a leading coefficient of – 3. a. Write P(x) in factored form over the complex numbers. b. Write P(x) in factored form with irreducible factors over the real numbers. . c. Without using a calculator determine the end behavior of P(x). Explain your reasoning.

Calculus: Early Transcendentals
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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3. P(x) is a polynomial of degree 6 with real coefficients and zeros x= 2 and x = 6i . The zero x = 2 has multiplicity 4 and P(x) has a leading coefficient of – 3. a. Write P(x) in factored form over the complex numbers. b. Write P(x) in factored form with irreducible factors over the real numbers. . c. Without using a calculator determine the end behavior of P(x). Explain your reasoning.
Transcribed Image Text:3. P(x) is a polynomial of degree 6 with real coefficients and zeros x= 2 and x = 6i . The zero x = 2 has multiplicity 4 and P(x) has a leading coefficient of – 3. a. Write P(x) in factored form over the complex numbers. b. Write P(x) in factored form with irreducible factors over the real numbers. . c. Without using a calculator determine the end behavior of P(x). Explain your reasoning.
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