What is one value that makes the fraction (x 2 + 11x + 30) ⁄ (4x 3 + 44x 2 + 120x) undefined?

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A fraction is undefined when its denominator is equal to 0. Factor the polynomial in the denominator and set each factor equal to 0 to find the values that make the fraction undefined; 4x 3 + 44x 2 + 120x = 4x(x 2 + 11x + 30) = 4x(x + 5)(x + 6); 4x = 0, x = 0; x + 5 = 0, x = –5; x + 6 = 0, x = –6. The fraction is undefined when x is equal to –6, –5, or 0.

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