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

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

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 2x^2 + x - 3. Here, a = 2, b = 1, and c = -3.Find Multiplying Numbers: Find two numbers that multiply to a*c (which is 2*(-3) = -6) and add up to b (which is 1). We need to find two numbers that multiply to -6 and add up to 1. The numbers -2 and 3 satisfy these conditions because -2 * 3 = -6 and -2 + 3 = 1.Rewrite Middle Term: Rewrite the middle term using the two numbers found. The expression 2x^2 + x - 3 can be rewritten as 2x^2 - 2x + 3x - 3 by splitting the middle term.Factor by Grouping: Factor by grouping. Group the terms as follows: (2x^2 - 2x) + (3x - 3). Factor out the common factors from each group. From the first group, factor out 2x: 2x(x - 1). From the second group, factor out 3: 3(x - 1).Factor Common Binomial: Factor out the common binomial factor. The expression now looks like 2x(x - 1) + 3(x - 1). The common binomial factor is (x - 1). Factor this out to get (x - 1)(2x + 3).

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

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