Factor the trinomial: 2x^(2)+13 x+20 Answer:

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Factor the trinomial:  2x^(2)+13 x+20 Answer:

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Identify coefficients: Identify the coefficients of the trinomial. The trinomial is 2x^2 + 13x + 20. Here, the coefficient of x^2 (a) is 2, the coefficient of x (b) is 13, and the constant term (c) is 20.Find numbers for multiplication: Find two numbers that multiply to ac (2 * 20 = 40) and add up to b (13). We need to find two numbers that multiply to 40 and add up to 13. The numbers 5 and 8 satisfy these conditions because 5 * 8 = 40 and 5 + 8 = 13.Rewrite middle term: Rewrite the middle term using the two numbers found in Step 2. We can express 13x as the sum of 5x and 8x. So, the trinomial becomes 2x^2 + 5x + 8x + 20.Factor by grouping: Factor by grouping. We group the terms as follows: (2x^2 + 5x) + (8x + 20). Now, we factor out the greatest common factor from each group. From the first group, we can factor out an x, giving us x(2x + 5). From the second group, we can factor out a 4, giving us 4(2x + 5).Factor out common binomial: Factor out the common binomial factor. Both groups now contain the common binomial factor (2x + 5). Factoring this out, we get (2x + 5)(x + 4) as the factored form of the trinomial.

Factor the trinomial: $\newline$ $2 x^{2}+13 x+20$ $\newline$ Answer:

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Factor the trinomial: $\newline$ $2 x^{2}+13 x+20$ $\newline$ Answer: