Factor completely. 5x^(2)-42 x+49 Answer:

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Factor completely.  5x^(2)-42 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 5, -42, and 49. Step Calculation: Coefficients are 5, -42, 49 Step Output: Coefficients: 5, -42, 49Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (5 * 49 = 245) and add to the middle coefficient (-42). Step Calculation: Factors of 245 that add up to -42 are -7 and -35. Step Output: Factors: -7, -35Rewrite 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: Rewrite -42x as -7x - 35x. Step Output: Rewritten quadratic: 5x^2 - 7x - 35x + 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: Factor out x from the first pair and -7 from the second pair. Step Output: Factored by grouping: x(5x - 7) - 7(5x - 7)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: Factor out (5x - 7). Step Output: Factored completely: (x - 7)(5x - 7)

Factor completely. $\newline$ $5 x^{2}-42 x+49$ $\newline$ Answer:

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Factor completely. $\newline$ $5 x^{2}-42 x+49$ $\newline$ Answer: