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3 Multiple Choice 3 Points Factor Out the GCF from the Following. 5x^2+20x-15 3(x^2+4x+5) 5(x+3)(x-1) X(5x+20-3) 5(x^2+4x-3)

Question

3 Multiple Choice 3 points Factor out the GCF from the following. 5x^2+20x-15 3(x^2+4x+5) 5(x+3)(x-1) x(5x+20-3) 5(x^2+4x-3)

Solution

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Alejandro Veterano · Tutor por 10 anos

Resposta

To factor out the greatest common factor (GCF) from the given expression , let's follow these steps:---### Step 1: Identify the GCFThe terms in the expression are: The coefficients are and . The GCF of these coefficients is **5**. Additionally, all terms involve powers of , but not all terms have as a factor (e.g., does not include ). Therefore, the GCF is **5**.---### Step 2: Factor out the GCFDivide each term by : ---### Step 3: Verify the Factored FormDistribute back to ensure correctness: This matches the original expression.---### Final Answer:The correct factored form is: Thus, the correct choice is: