Factor. 7s^2 - 9s + 2 ______

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 7s^2 - 9s + 2. Here, the coefficient of s^2 (a) is 7, the coefficient of s (b) is -9, and the constant term (c) is 2.Find Multiplying Numbers: Find two numbers that multiply to ac (7 * 2 = 14) and add up to b (-9). We need to find two numbers that multiply to 14 and add up to -9. The numbers that satisfy these conditions are -7 and -2 because -7 * -2 = 14 and -7 + -2 = -9.Rewrite Middle Term: Rewrite the middle term using the two numbers found in the previous step. We can express -9s as -7s - 2s, so the expression becomes 7s^2 - 7s - 2s + 2.Factor by Grouping: Factor by grouping. Group the terms into two pairs: (7s^2 - 7s) and (-2s + 2). Factor out the greatest common factor from each pair. From the first pair, we can factor out 7s, and from the second pair, we can factor out -2. This gives us 7s(s - 1) - 2(s - 1).Factor Common Binomial: Factor out the common binomial factor. Both terms have a common factor of (s - 1), so we can factor this out to get (s - 1)(7s - 2).

Factor. $\newline$ $7s^2 - 9s + 2$

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Factor. $\newline$ $7s^2 - 9s + 2$