Factor completely. 3x^(2)+8x-3 Answer:

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Factor completely.  3x^(2)+8x-3 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 3x^2 + 8x - 3. Here, the coefficient of x^2 (a) is 3, the coefficient of x (b) is 8, and the constant term (c) is -3.Find Multiplying Numbers: Look for two numbers that multiply to ac (a times c) and add up to b. We need to find two numbers that multiply to (3)(-3) = -9 and add up to 8. The numbers that satisfy these conditions are 9 and -1, because 9 * (-1) = -9 and 9 + (-1) = 8.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 2. We can express 8x as 9x - x. So, the expression 3x^2 + 8x - 3 can be rewritten as 3x^2 + 9x - x - 3.Factor by Grouping: Factor by grouping. We group the terms as follows: (3x^2 + 9x) + (-x - 3). Now we factor out the common factors from each group. From the first group, we can factor out 3x, and from the second group, we can factor out -1. This gives us: 3x(x + 3) - 1(x + 3).Factor Common Binomial: Factor out the common binomial factor. We notice that (x + 3) is a common factor in both terms. Factoring this out gives us: (x + 3)(3x - 1).

Factor completely. $\newline$ $3 x^{2}+8 x-3$ $\newline$ Answer:

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Factor completely. $\newline$ $3 x^{2}+8 x-3$ $\newline$ Answer: