Factor completely. 2x^(2)-21 x+49 Answer:

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Factor completely.  2x^(2)-21 x+49 Answer:

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 2, -21, and 49. Step Calculation: Coefficients are 2, -21, 49 Step Output: Coefficients: 2, -21, 49Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (2*49=98) and add to the middle coefficient (-21). Step Calculation: Factors of 98 that add up to -21 are -14 and -7. Step Output: Factors: -14, -7Rewrite Middle Term: Step Title: Rewrite the Middle Term Concise Step Description: Rewrite the middle term using the factors found in the previous step. Step Calculation: 2x^2 - 14x - 7x + 49 Step Output: Rewritten quadratic: 2x^2 - 14x - 7x + 49Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factors from each pair. Step Calculation: (2x^2 - 14x) + (-7x + 49) = 2x(x - 7) - 7(x - 7) Step Output: Grouped factors: 2x(x - 7) - 7(x - 7)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the grouped terms. Step Calculation: (2x - 7)(x - 7) Step Output: Factored Form: (2x - 7)(x - 7)

Factor completely. $\newline$ $2 x^{2}-21 x+49$ $\newline$ Answer:

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