Question: For the polynomial function g(x) = 2x 3 + 5x 2 - 28x - 15, (a) Determine the maximum number of real zeros that the

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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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 full answer

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