Factor the trinomial: 2x^(2)+9x+4 Answer:

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Factor the trinomial:  2x^(2)+9x+4 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic trinomial. The quadratic trinomial is 2x^2 + 9x + 4. Here, the coefficient of x^2 (a) is 2, the coefficient of x (b) is 9, and the constant term (c) is 4.Find Multiplying Numbers: Find two numbers that multiply to ac (2 * 4 = 8) and add up to b (9). We need to find two numbers that multiply to 8 and add up to 9. The numbers that satisfy these conditions are 8 and 1 because 8 * 1 = 8 and 8 + 1 = 9.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 2. We can express 9x as 8x + x. So, the trinomial 2x^2 + 9x + 4 can be rewritten as 2x^2 + 8x + x + 4.Factor by Grouping: Factor by grouping. Now we group the terms: (2x^2 + 8x) + (x + 4). We can factor out a common factor of 2x from the first group and a common factor of 1 from the second group, which gives us 2x(x + 4) + 1(x + 4).Factor out Common Factor: Factor out the common binomial factor. Since both groups contain the common binomial factor (x + 4), we can factor it out to get (x + 4)(2x + 1).

Factor the trinomial: $\newline$ $2 x^{2}+9 x+4$ $\newline$ Answer:

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Factor the trinomial: $\newline$ $2 x^{2}+9 x+4$ $\newline$ Answer: