Factor completely. 5x^(2)+14 x-3 Answer:

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Factor completely.  5x^(2)+14 x-3 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 5x^2 + 14x - 3. Here, the coefficient of x^2 (a) is 5, the coefficient of x (b) is 14, 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 (5)(-3) = -15 and add up to 14. The numbers that satisfy these conditions are 15 and -1 because 15 * -1 = -15 and 15 + (-1) = 14.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 2. We can express 14x as 15x - x. So, the expression becomes 5x^2 + 15x - x - 3.Factor by Grouping: Factor by grouping. We group the terms as follows: (5x^2 + 15x) - (x + 3). Now we factor out the common factors from each group. From the first group, we can factor out 5x, and from the second group, we can factor out -1. This gives us: 5x(x + 3) - 1(x + 3).Factor Common Binomial: Factor out the common binomial factor. We can now see that (x + 3) is a common factor in both terms. Factoring this out gives us: (x + 3)(5x - 1).

Factor completely. $\newline$ $5 x^{2}+14 x-3$ $\newline$ Answer:

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Factor completely.\newline5x2+14x−3 5 x^{2}+14 x-3 5x2+14x−3\newlineAnswer:

Factor completely. $\newline$ $5 x^{2}+14 x-3$ $\newline$ Answer: