For the polynomial function g(x) 2x 3 5x 2 28x 15, (a) Determine the maximum number of real zeros that the function may have (b) Find bounds to the zeros of the function (c) List the potential rational zeros (d) Determine the real zeros of g Factor g over the reals (e) Find the x and y intercepts o...

a The maximum number of real zeros is the degree n 3 b First we write the polynomial so that the leading coefficient is 1 For the expression in parent ...

For the polynomial function g(x) = 2x 3 + 5x 2 - 28x - 15, (a) Determine

Question:

For the polynomial function g(x) = 2x³ + 5x² - 28x - 15,

(a) Determine the maximum number of real zeros that the function may have.

(b) Find bounds to the zeros of the function.

(d) Determine the real zeros of g. Factor g over the reals.

(e) Find the x- and y-intercepts of the graph of g.

(f) Determine whether the graph crosses or touches the x-axis at each x-intercept.

(g) Find the power function that the graph of g resembles for large values of |x|.

(h) Determine the behavior of the graph of g near each x-intercept.

(i) Put all the information together to obtain the graph of g.

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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Question Posted: Jan 09, 2019 12:44 PM

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For the polynomial function g(x) = 2x 3 + 5x 2 - 28x - 15, (a) Determine

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a The maximum number of real zeros is the degree n 3 b First we write the polynomial so that the leading coefficient is 1 For the expression in parent...View the full answer

Precalculus

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