Factor completely. 3x^(2)+19 x-14 Answer:

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Factor completely.  3x^(2)+19 x-14 Answer:

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Identify Quadratic Trinomial: Identify the quadratic trinomial. The given expression is 3x^2 + 19x - 14, which is a quadratic trinomial of the form ax^2 + bx + c.Find Multiplying Numbers: Look for two numbers that multiply to ac (product of the coefficient of x^2 and the constant term) and add to b (the coefficient of x). In this case, ac = 3 * (-14) = -42 and b = 19. We need to find two numbers that multiply to -42 and add up to 19.Determine Two Numbers: Find the two numbers. After checking possible factors of -42, we find that 21 and -2 multiply to -42 and add up to 19.Rewrite Middle Term: Rewrite the middle term using the two numbers found in Step 3. We can express 19x as 21x - 2x, so the expression becomes: 3x^2 + 21x - 2x - 14.Factor by Grouping: Factor by grouping. Group the terms into two pairs: (3x^2 + 21x) and (-2x - 14). Factor out the greatest common factor from each pair: 3x(x + 7) - 2(x + 7).Factor Common Binomial: Factor out the common binomial factor. The common binomial factor is (x + 7), so we factor it out: (3x - 2)(x + 7).

Factor completely. $\newline$ $3 x^{2}+19 x-14$ $\newline$ Answer:

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Factor completely. $\newline$ $3 x^{2}+19 x-14$ $\newline$ Answer: