P (x) = 6x² – 17x³ − 28x² − x + 4 a. List all the possible rational zeros of the polynomial. b. Use the intermediate value theorem to show that there is a zero between 3 and 5. c. Find all the zeros of the polynomial algebraically. d. Write the polynomial as a product of linear factors or irreducible quadratic factors with integer coefficients.
P (x) = 6x² – 17x³ − 28x² − x + 4 a. List all the possible rational zeros of the polynomial. b. Use the intermediate value theorem to show that there is a zero between 3 and 5. c. Find all the zeros of the polynomial algebraically. d. Write the polynomial as a product of linear factors or irreducible quadratic factors with integer coefficients.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:P(x) = 6x¹17x³ - 28x² − x + 4
a. List all the possible rational zeros of the polynomial.
b. Use the intermediate value theorem to show that there is a zero between 3 and
5.
c. Find all the zeros of the polynomial algebraically.
d. Write the polynomial as a product of linear factors or irreducible quadratic
factors with integer coefficients.
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