Factor completely. 2x^(2)-9x-5 Answer:

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Factor completely.  2x^(2)-9x-5 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 2x^2 - 9x - 5. Here, a = 2 (coefficient of x^2), b = -9 (coefficient of x), and c = -5 (constant term).Find Multiplying Numbers: Determine two numbers that multiply to ac (a times c) and add up to b. We need to find two numbers that multiply to (2)(-5) = -10 and add up to -9.Determine Numbers: Find the two numbers that meet the criteria. The numbers -10 and 1 multiply to -10 and add up to -9. So, we can write -9x as -10x + x.Rewrite Expression: Rewrite the quadratic expression using the two numbers found. The expression 2x^2 - 9x - 5 can be rewritten as 2x^2 - 10x + x - 5.Factor by Grouping: Factor by grouping. Group the terms to factor by grouping: (2x^2 - 10x) + (x - 5).Factor Common Factors: Factor out the common factors from each group. From the first group, 2x^2 - 10x, we can factor out 2x to get 2x(x - 5). From the second group, x - 5, we can factor out 1 to get 1(x - 5).Write Factored Form: Write the factored form by combining the common factors. Since both groups contain the factor (x - 5), we can combine them to get the factored form: 2x(x - 5) + 1(x - 5).Combine Common Factors: Combine the common factors to complete the factoring. The final factored form is (2x + 1)(x - 5).

Factor completely. $\newline$ $2 x^{2}-9 x-5$ $\newline$ Answer:

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Factor completely.\newline2x2−9x−5 2 x^{2}-9 x-5 2x2−9x−5\newlineAnswer:

Factor completely. $\newline$ $2 x^{2}-9 x-5$ $\newline$ Answer: