Factor completely. 5x^(2)+x-4 Answer:

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Factor completely.  5x^(2)+x-4 Answer:

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Identify Quadratic Expression: Identify the quadratic expression to be factored. The given quadratic expression is 5x^2 + x - 4. We need to find two numbers that multiply to give the product of the coefficient of x^2 (which is 5) and the constant term (which is -4), and at the same time, these two numbers should add up to give the coefficient of x (which is 1).Find Two Numbers: Find two numbers that meet the criteria. We are looking for two numbers that multiply to -20 (since 5 * -4 = -20) and add up to 1. The numbers that meet these criteria are 5 and -4 because 5 * -4 = -20 and 5 + (-4) = 1.Rewrite Middle Term: Rewrite the middle term using the two numbers found. We can express the middle term x as 5x - 4x, which are the two numbers we found in the previous step. So, the expression becomes: 5x^2 + 5x - 4x - 4Factor by Grouping: Factor by grouping. Now we group the terms to factor by grouping: (5x^2 + 5x) - (4x + 4) We can factor out a common factor from each group: 5x(x + 1) - 4(x + 1)Factor out Common Binomial Factor: Factor out the common binomial factor. We notice that (x + 1) is a common factor in both terms, so we can factor it out: (5x - 4)(x + 1)

Factor completely. $\newline$ $5 x^{2}+x-4$ $\newline$ Answer:

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Factor completely. $\newline$ $5 x^{2}+x-4$ $\newline$ Answer: