Factor completely. 5x^(2)+25 x+20=

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Factor completely.  5x^(2)+25 x+20=

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Identify Form: Identify the form of the quadratic trinomial. The given expression 5x^2 + 25x + 20 represents a quadratic trinomial in the form ax^2 + bx + c.Find Common Factors: Look for common factors in all three terms. The coefficients 5, 25, and 20 all have a common factor of 5. Factor out the greatest common factor (GCF) of 5. 5(x^2 + 5x + 4)Factor Out GCF: Factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to give ac (where a is the coefficient of x^2 and c is the constant term) and add up to b (the coefficient of x). In this case, a = 1, b = 5, and c = 4, so we need two numbers that multiply to 4 and add up to 5. The numbers 4 and 1 satisfy these conditions.Factor Quadratic Expression: Write the quadratic expression as a product of two binomials. Using the numbers found in Step 3, we can write the quadratic expression as: (x + 4)(x + 1)Write as Product: Combine the GCF factored out in Step 2 with the factored quadratic expression from Step 4. The factored form of the original expression is: 5(x + 4)(x + 1)

Factor completely. $\newline$ $5x^{2}+25x+20=$

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Factor completely.\newline5x2+25x+20=5x^{2}+25x+20=5x2+25x+20=

Factor completely. $\newline$ $5x^{2}+25x+20=$