Factor the quadratic expression completely. 2x^(2)+7x+3=

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Factor the quadratic expression completely.  2x^(2)+7x+3=

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic expression, which are the numbers in front of the variables. In this case, the coefficients are 2, 7, and 3. Step Calculation: Coefficients are 2, 7, 3 Step Output: Coefficients: 2, 7, 3Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (2) and the last term (3), which is 6, and add to the middle coefficient (7). Step Calculation: Factors of 6 that add up to 7 are 1 and 6. Step Output: Factors: 1, 6Rewrite 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: The expression can be rewritten as 2x^2 + 6x + x + 3. Step Output: Rewritten Expression: 2x^2 + 6x + x + 3Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factor from each pair. Step Calculation: Factor out 2x from the first pair and 1 (or nothing) from the second pair to get 2x(x + 3) + 1(x + 3). Step Output: Factored by Grouping: 2x(x + 3) + 1(x + 3)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: The common binomial factor is (x + 3), so factor it out to get (x + 3)(2x + 1). Step Output: Factored Form: (x + 3)(2x + 1)

Factor the quadratic expression completely. $\newline$ $2x^{2}+7x+3=$

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Factor the quadratic expression completely.\newline2x2+7x+3=2x^{2}+7x+3=2x2+7x+3=

Factor the quadratic expression completely. $\newline$ $2x^{2}+7x+3=$