Consider the polynomial P with P(x) = 2x² - 6x³ - 17x² - 9x - 30. (a) Sketch a graph y = P(x) of the function that displays all the important properties of the function. Use an online plotter and include the graph in your assignment. (b) Factorize the polynomial P into a product of irreducible linear and quadratic factors. (c) What are the roots of P?

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
Section4.5: Zeros Of Polynomial Functions
Problem 81E
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Consider the polynomial P with P(x) = 2x² - 6x³ - 17x² - 9x - 30.
(a) Sketch a graph y = P(x) of the function that displays all the important properties of the
function. Use an online plotter and include the graph in your assignment.
(b) Factorize the polynomial P into a product of irreducible linear and quadratic factors.
(c) What are the roots of P?
(d) On which interval is the graph for P concave downward?
Transcribed Image Text:Consider the polynomial P with P(x) = 2x² - 6x³ - 17x² - 9x - 30. (a) Sketch a graph y = P(x) of the function that displays all the important properties of the function. Use an online plotter and include the graph in your assignment. (b) Factorize the polynomial P into a product of irreducible linear and quadratic factors. (c) What are the roots of P? (d) On which interval is the graph for P concave downward?
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