a. By sketching graphs of y = x 3 + 5x 2 and y = 5

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a. By sketching graphs of y = x3 + 5x2 and y = 5 − 2x, determine the number of real roots of the equation x3 + 5x2 + 2x − 5 = 0.

b. Verify by calculation that the largest root of x3 + 5x2 + 2x − 5 = 0 lies between x = 0 and x = 2.

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