Factor completely. 5x^(2)+20 x-60=

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Factor completely.  5x^(2)+20 x-60=

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Look for common factor: Look for a common factor in all terms. Identify the greatest common factor (GCF) of the terms 5x^2, 20x, and -60. The GCF is 5.Factor out GCF: Factor out the GCF from the expression. Divide each term by the GCF and write the expression as a product of the GCF and the remaining terms. 5x^2 + 20x - 60 = 5(x^2 + 4x - 12)Factor quadratic expression: Factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to -12 and add to 4. The numbers 6 and -2 satisfy these conditions because 6 * (-2) = -12 and 6 + (-2) = 4.Write factored form: Write the factored form of the quadratic expression. Replace the middle term, 4x, with the two terms found in Step 3, and then group the terms to factor by grouping. 5(x^2 + 6x - 2x - 12) = 5((x^2 + 6x) - (2x + 12))Factor by grouping: Factor by grouping. Factor out the common factor from each group. 5((x(x + 6)) - 2(x + 6))Factor out common binomial: Factor out the common binomial factor. The common binomial factor is (x + 6). 5(x + 6)(x - 2)

Factor completely. $\newline$ $5x^{2}+20x-60=$

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Factor completely.\newline5x2+20x−60=5x^{2}+20x-60=5x2+20x−60=

Factor completely. $\newline$ $5x^{2}+20x-60=$