Factor the trinomial: 3x^(2)+5x+2 Answer:

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Factor the trinomial:  3x^(2)+5x+2 Answer:

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Identify coefficients: Identify the coefficients of the trinomial. The trinomial is 3x^2 + 5x + 2. Here, the coefficient of x^2 (a) is 3, the coefficient of x (b) is 5, and the constant term (c) is 2.Find two numbers: Find two numbers that multiply to ac (3 * 2 = 6) and add up to b (5). We need to find two numbers that multiply to 6 and add up to 5. The numbers 3 and 2 satisfy these conditions because 3 * 2 = 6 and 3 + 2 = 5.Rewrite middle term: Rewrite the middle term using the two numbers found in Step 2. We can express 5x as 3x + 2x. So, the trinomial becomes 3x^2 + 3x + 2x + 2.Factor by grouping: Factor by grouping. Group the terms into two pairs: (3x^2 + 3x) and (2x + 2). Factor out the greatest common factor from each pair. From the first pair, we can factor out 3x, giving us 3x(x + 1). From the second pair, we can factor out 2, giving us 2(x + 1).Factor common binomial: Factor out the common binomial factor. Both groups have a common factor of (x + 1). Factor this out to get the final factored form. The factored form is (3x + 2)(x + 1).

Factor the trinomial: $\newline$ $3 x^{2}+5 x+2$ $\newline$ Answer:

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Factor the trinomial: $\newline$ $3 x^{2}+5 x+2$ $\newline$ Answer: