Factor the trinomial: 2x^(2)+9x+10 Answer:

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Factor the trinomial:  2x^(2)+9x+10 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic trinomial. The quadratic trinomial is in the form ax^2 + bx + c, where a, b, and c are constants. For 2x^2 + 9x + 10, we have: a = 2 b = 9 c = 10Find Multiplying Numbers: Find two numbers that multiply to a*c (2*10 = 20) and add up to b (9). We need to find two numbers, m and n, such that: m * n = 20 m + n = 9 The numbers that satisfy these conditions are 5 and 4, because: 5 * 4 = 20 5 + 4 = 9Write Middle Term: Write the middle term (9x) as the sum of two terms using the numbers found in the previous step. We can express 9x as 5x + 4x, which are the coefficients we found that add up to 9. So, the trinomial can be rewritten as: 2x^2 + 5x + 4x + 10Factor by Grouping: Factor by grouping. Group the terms into two pairs: (2x^2 + 5x) + (4x + 10) Now factor out the common factors from each pair: x(2x + 5) + 2(2x + 5)Factor Common Binomial: Factor out the common binomial factor. We see that (2x + 5) is a common factor in both terms, so we can factor it out: (2x + 5)(x + 2)

Factor the trinomial: $\newline$ $2 x^{2}+9 x+10$ $\newline$ Answer:

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Factor the trinomial: $\newline$ $2 x^{2}+9 x+10$ $\newline$ Answer: