Factor completely. 2x^(2)+5x+3 Answer:

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Factor completely.  2x^(2)+5x+3 Answer:

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Identify coefficients: Identify the coefficients a, b, and c in the quadratic expression 2x^2 + 5x + 3. By comparing 2x^2 + 5x + 3 with the standard form ax^2 + bx + c, we find that a = 2, b = 5, and c = 3.Find two numbers: Find two numbers that multiply to a*c (2*3 = 6) and add up to b (5). We need to find two numbers that multiply to 6 and add up to 5. The numbers 2 and 3 fit this requirement because 2*3 = 6 and 2+3 = 5.Rewrite middle term: Rewrite the middle term (5x) using the two numbers found in Step 2. We can express 5x as the sum of 2x and 3x. Therefore, we rewrite the expression as 2x^2 + 2x + 3x + 3.Factor by grouping: Factor by grouping. We group the terms as follows: (2x^2 + 2x) + (3x + 3). Now we factor out the common factors from each group. From the first group, we can factor out 2x, giving us 2x(x + 1). From the second group, we can factor out 3, giving us 3(x + 1).Write factored form: Write the factored form of the expression. Since both groups contain the factor (x + 1), we can factor this out to get the final factored form of the expression: (2x + 3)(x + 1).

Factor completely. $\newline$ $2 x^{2}+5 x+3$ $\newline$ Answer:

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Factor completely. $\newline$ $2 x^{2}+5 x+3$ $\newline$ Answer: