Factor completely. 2x^(2)-3x-2 Answer:

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Factor completely.  2x^(2)-3x-2 Answer:

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Identify coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 2x^2 - 3x - 2. Here, a = 2 (coefficient of x^2), b = -3 (coefficient of x), and c = -2 (constant term).Find two numbers: Find two numbers that multiply to a*c (which is 2*(-2) = -4) and add up to b (which is -3). We need to find two numbers that multiply to -4 and add to -3. The numbers -4 and 1 satisfy these conditions because -4 * 1 = -4 and -4 + 1 = -3.Rewrite middle term: Rewrite the middle term -3x using the two numbers found in the previous step. We can express -3x as -4x + x. So, the expression 2x^2 - 3x - 2 can be rewritten as 2x^2 - 4x + x - 2.Factor by grouping: Factor by grouping. Group the terms into two pairs: (2x^2 - 4x) and (x - 2). Factor out the common factors from each pair. From the first pair, we can factor out 2x, giving us 2x(x - 2). From the second pair, we can factor out 1, giving us 1(x - 2). Now we have 2x(x - 2) + 1(x - 2).Factor out common factor: Factor out the common binomial factor (x - 2). The expression can now be written as (x - 2)(2x + 1).

Factor completely. $\newline$ $2 x^{2}-3 x-2$ $\newline$ Answer:

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Factor completely. $\newline$ $2 x^{2}-3 x-2$ $\newline$ Answer: