Explanation Given information: The provided rational expression is, x + 5 x 2 − 36 Formula used: The principle of zero product states that, for a product of two factors to be zero, at-least one of the factors should be equal to zero. Mathematically, ( x − a ) ( x − b ) = 0 implies ( x − a ) = 0 or ( x − b ) = 0 . Calculation: Consider the rational expression as below. x + 5 x 2 − 36 A rational expression g ( x ) f ( x ) is said to be undefined if for an input argument value of x , the functions reveals g ( a ) 0 or 0 0 . To determine the value of x, the denominator is set to equal to zero and solved for the variable. f ( x ) = 0 Set the denominator equal to zero

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Chapter 12, Problem 3RE

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To calculate: The value of x for which the rational expression x+5x2−36 is not defined.

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Chapter 12, Problem 2RE

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Chapter 12 Solutions

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Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The value of x for which the rational expression x + 5 x 2 − 36 is not defined.

Solution Summary: The author calculates the value of x for which the rational expression isn't defined. The denominator is set to zero and solved for the variable.

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To calculate: The value of x for which the rational expression x+5x2−36 is not defined.

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