Factor completely. 3x^(2)-7x-10 Answer:

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Factor completely.  3x^(2)-7x-10 Answer:

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Identify Quadratic Expression: Identify the quadratic expression to be factored. The given quadratic expression is 3x^2 - 7x - 10. We need to find two numbers that multiply to give the product of the coefficient of x^2 (which is 3) and the constant term (which is -10), and add up to the coefficient of x (which is -7).Find Suitable Numbers: Find two numbers that meet the criteria. We are looking for two numbers that multiply to -30 (3 * -10) and add up to -7. The numbers that meet these criteria are -10 and +3 because (-10) * (+3) = -30 and (-10) + (+3) = -7.Rewrite Middle Term: Rewrite the middle term using the two numbers found. We can express -7x as -10x + 3x. So, the expression 3x^2 - 7x - 10 can be rewritten as 3x^2 - 10x + 3x - 10.Factor by Grouping: Factor by grouping. Now we group the terms: (3x^2 - 10x) + (3x - 10). We can factor out an x from the first group and a 3 from the second group: x(3x - 10) + 3(3x - 10).Factor out Common Binomial: Factor out the common binomial factor. Since both groups contain the common binomial factor (3x - 10), we can factor it out: (3x - 10)(x + 3).

Factor completely. $\newline$ $3 x^{2}-7 x-10$ $\newline$ Answer:

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Factor completely.\newline3x2−7x−10 3 x^{2}-7 x-10 3x2−7x−10\newlineAnswer:

Factor completely. $\newline$ $3 x^{2}-7 x-10$ $\newline$ Answer: