b Factor 2x^(2)-5x-3

Question

b Factor  2x^(2)-5x-3

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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, -5, and -3. Step Calculation: Coefficients are 2, -5, -3 Step Output: Coefficients: 2, -5, -3Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the leading coefficient (2) and the constant term (-3), which is -6, and add to the middle coefficient (-5). Step Calculation: Factors of -6 that add up to -5 are -6 and +1. Step Output: Factors: -6, +1Rewrite 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 -5x as -6x + x. Step Output: Rewritten quadratic: 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 factors from each pair. Step Calculation: Factor out 2x from the first pair and 1 (or just factor the x out) from the second pair. 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 two groups. Step Calculation: Factor out (x - 3). Step Output: Factored Form: (2x + 1)(x - 3)

b Factor $\newline$ $2 x^{2}-5 x-3$

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b Factor\newline2x2−5x−3 2 x^{2}-5 x-3 2x2−5x−3

b Factor $\newline$ $2 x^{2}-5 x-3$