Questions: Factor. y^2 + 11y + 30

Transcript text: Factor. \[ y^{2}+11 y+30 \]

Solution

Step 1: Identify the Coefficients

The coefficients are a = 1, b = 11, and c = 30.

Step 2: Check for Factorability

The discriminant (D) is calculated as D = b^2 - 4ac = 11^2 - 4_1_30 = 1.

Step 3: Find Two Numbers m and n

Using the quadratic formula, the roots are found to be -5 and -6.

Step 4 & 5: Factor the Equation

The factored form is (x - (-5))(x - (-6)).

The quadratic equation x^2 + 11x + 30 factors to (x - (-5))(x - (-6)).

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