(x - 4)(x + 2)(x - 1) = 0 What is the product of the solutions to the given equation?

The correct answer is D. Choice D is correct. By the zero-product property, if (x - 4)(x + 2)(x - 1) = 0 , then x - 4 = 0 , x + 2 = 0 , or x - 1 = 0 . Solving each of these equations for x yields x = 4 , x = -2 , or x = 1 . The product of these solutions is 4 × (-2) × 1 = -8 .

Note: The equation is already factored, so the solutions are the values that make each factor zero: 4, -2, and 1. Their product is -8.

SAT Question 911383f2: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect and may result from sign errors made when solving the given equation.

Choice B

Choice B is incorrect and may result from finding the sum, not the product, of the solutions.

Choice C

Choice C is incorrect and may result from finding the sum, not the product, of the solutions in addition to making sign errors when solving the given equation.

Explanation

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Why the other choices are wrong

SAT Question 911383f2: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong