Questions: Factor. x^2-5x-6

Transcript text: Factor. \[ x^{2}-5 x-6 \]

Solution

Step 1: Identify the Coefficients

The coefficients are: a = 1, b = -5, c = -6.

Step 2: Check for Factorability

The discriminant (\(b^2 - 4ac\)) is: 49.

Step 3: Factor by Grouping (if applicable)

The quadratic equation can be factored as: \((x - 6)(x + 1)\).

Step 4: Use the Quadratic Formula (if necessary)

The roots of the quadratic equation are: x1 = 6, x2 = -1.

Step 5: Special Cases

Since \(a = 1\), the factoring process is straightforward.

The factored form of the quadratic equation is: \((x - 6)(x + 1)\).

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