Y=-2x^2-16x-20

Question

Y=-2x^2-16x-20

Bytelearn · Accepted Answer

Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are -2, -16, and -20. Step Calculation: Coefficients are -2, -16, -20 Step Output: Coefficients: -2, -16, -20Factor Out GCF: Step Title: Factor Out the Greatest Common Factor (GCF) Concise Step Description: Factor out the greatest common factor from the quadratic equation to simplify the factoring process. Step Calculation: The GCF of -2, -16, and -20 is -2. Step Output: Factored equation with GCF: -2(x^2 + 8x + 10)Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 10 (the last term of the factored equation) and add to 8 (the coefficient of the middle term of the factored equation). Step Calculation: Factors of 10 that add up to 8 are 2 and 5. Step Output: Factors: 2, 5Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is -2(x + 2)(x + 5). Step Output: Factored Form: -2(x + 2)(x + 5)

$Y=-2x^2-16x-20$

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Y=−2x2−16x−20Y=-2x^2-16x-20Y=−2x2−16x−20

$Y=-2x^2-16x-20$