Explanation Calculation: The given equation is ( x + 3 ) ( x 2 − 4 ) = 0 . By inspection, substitute x = − 1 in the equation ( x + 3 ) ( x 2 − 4 ) = 0 . ( − 1 + 3 ) ( ( − 1 ) 2 − 4 ) = ? 0 ( 2 ) ( − 3 ) = ? 0 − 6 = 0 ( False ) Therefore, x = − 1 is not the root of the equation ( x + 3 ) ( x 2 − 4 ) = 0 . Substitute x = − 2 in the equation ( x + 3 ) ( x 2 − 4 ) = 0 . ( − 2 + 3 ) ( ( − 2 ) 2 − 4 ) = ? 0 ( 1 ) ( 4 − 4 ) = ? 0 0 = 0 ( True ) Therefore, x = − 2 is a root of the equation ( x + 3 ) ( x 2 − 4 ) = 0 . Substitute x = 2 in the equation ( x + 3 ) ( x 2 − 4 ) = 0

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Chapter 15.2, Problem 3E

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The roots of the equation (x+3)(x2−4)=0 using inspection.

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Chapter 15.2, Problem 2E

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Chapter 15 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 15.1 - Use the factor theorem to determine whether t − 2...Ch. 15.1 - Prob. 2PE Ch. 15.1 - Prob. 3PE Ch. 15.1 - Prob. 4PE Ch. 15.1 - Prob. 1E Ch. 15.1 - Prob. 2E Ch. 15.1 - In Exercises 1–4, make the given changes in the...Ch. 15.1 - Prob. 4E Ch. 15.1 - Prob. 5E Ch. 15.1 - Prob. 6E

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Chapter 15 Solutions