Solve x^2 + 6x + 5 = 0.

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

Multiple Choice

Solve x^2 + 6x + 5 = 0.

Explanation:
When solving a quadratic by factoring, we look for two numbers that multiply to the constant term (5) and add to the coefficient of x (6). Those numbers are 1 and 5, so the expression factors as (x + 1)(x + 5) = 0. A product is zero when either factor is zero, giving x + 1 = 0 or x + 5 = 0, so x = -1 or x = -5. You can verify by substitution: (-1)^2 + 6(-1) + 5 = 0 and (-5)^2 + 6(-5) + 5 = 0. The quadratic formula would also yield -1 and -5, confirming both solutions.

When solving a quadratic by factoring, we look for two numbers that multiply to the constant term (5) and add to the coefficient of x (6). Those numbers are 1 and 5, so the expression factors as (x + 1)(x + 5) = 0. A product is zero when either factor is zero, giving x + 1 = 0 or x + 5 = 0, so x = -1 or x = -5. You can verify by substitution: (-1)^2 + 6(-1) + 5 = 0 and (-5)^2 + 6(-5) + 5 = 0. The quadratic formula would also yield -1 and -5, confirming both solutions.

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