What values make the fraction (x 2 + 7x + 12) ⁄ (x 3 + 3x 2 – 4x) 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; x 3 + 3x 2 – 4x = x(x + 4)(x – 1); x = 0; x + 4 = 0, x = –4; x – 1 = 0, x = 1. The fraction is undefined when x is equal to –4, 0, or 1.

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