Factor completely. 6x^(2)-18 x-60=

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Factor completely.  6x^(2)-18 x-60=

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Identify quadratic trinomial: Identify the quadratic trinomial and look for common factors. The given expression is 6x^2 - 18x - 60. We can see that each term has a common factor of 6.Factor out common factors: Factor out the greatest common factor (GCF) from each term. The GCF of 6x^2, -18x, and -60 is 6. So we factor out 6 from the expression. 6(x^2 - 3x - 10)Factor quadratic expression: Factor the quadratic expression inside the parentheses. We need to find two numbers that multiply to -10 (the constant term) and add up to -3 (the coefficient of the x term). The numbers that satisfy these conditions are -5 and +2.Write factored form: Write the factored form using the numbers found in Step 3. We can now write the quadratic expression as a product of two binomials. 6(x - 5)(x + 2)Check factored form: Check the factored form by expanding it to ensure it matches the original expression. Expanding 6(x - 5)(x + 2) gives us: 6(x^2 + 2x - 5x - 10) = 6(x^2 - 3x - 10) = 6x^2 - 18x - 60 This matches the original expression, so our factoring is correct.

Factor completely. $\newline$ $6x^{2}-18x-60=$

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Factor completely.\newline6x2−18x−60=6x^{2}-18x-60=6x2−18x−60=

Factor completely. $\newline$ $6x^{2}-18x-60=$