Factor the trinomial: 2x^(2)+17 x+30 Answer:

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Factor the trinomial:  2x^(2)+17 x+30 Answer:

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Identify trinomial: Identify the trinomial that needs to be factored. The trinomial given is 2x^2 + 17x + 30.Find two numbers: Look for two numbers that multiply to give the product of the coefficient of x^2 term (which is 2) and the constant term (which is 30), and add up to the coefficient of the x term (which is 17). We need two numbers that multiply to 2 * 30 = 60 and add up to 17.Find pair of numbers: Find the pair of numbers that meet the criteria from Step 2. The numbers 5 and 12 multiply to 60 (5 * 12 = 60) and add up to 17 (5 + 12 = 17).Write middle term: Write the middle term (17x) as the sum of two terms using the numbers found in Step 3. 17x can be written as 5x + 12x. So, the trinomial 2x^2 + 17x + 30 can be rewritten as 2x^2 + 5x + 12x + 30.Factor by grouping: Factor by grouping. Group the terms into two pairs: (2x^2 + 5x) and (12x + 30).Factor out common factor: Factor out the greatest common factor from each group. From the first group (2x^2 + 5x), we can factor out an x to get x(2x + 5). From the second group (12x + 30), we can factor out a 6 to get 6(2x + 5).Write final factored form: Write the final factored form using the common binomial factor from both groups. Since both groups contain the binomial (2x + 5), the trinomial can be factored as (x + 6)(2x + 5).

Factor the trinomial: $\newline$ $2 x^{2}+17 x+30$ $\newline$ Answer:

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Factor the trinomial: $\newline$ $2 x^{2}+17 x+30$ $\newline$ Answer: