Solve x^2 + x - 6 = 0.

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

Solve x^2 + x - 6 = 0.

Explanation:
To solve this quadratic, factor by finding two numbers that multiply to the product of the leading coefficient and the constant term (-6) and add to the middle coefficient (1). Those numbers are 3 and -2, since 3 × -2 = -6 and 3 + (-2) = 1. This lets us rewrite and factor as (x + 3)(x - 2) = 0. By the zero product property, each factor gives a root: x + 3 = 0 leads to x = -3, and x - 2 = 0 leads to x = 2. So the solutions are x = -3 and x = 2. The other options either miss one of these roots or list values that don’t satisfy the equation.

To solve this quadratic, factor by finding two numbers that multiply to the product of the leading coefficient and the constant term (-6) and add to the middle coefficient (1). Those numbers are 3 and -2, since 3 × -2 = -6 and 3 + (-2) = 1. This lets us rewrite and factor as (x + 3)(x - 2) = 0. By the zero product property, each factor gives a root: x + 3 = 0 leads to x = -3, and x - 2 = 0 leads to x = 2. So the solutions are x = -3 and x = 2. The other options either miss one of these roots or list values that don’t satisfy the equation.

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