Factor. u^2 + 7u + 10 ______

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Identify Variables: Identify a, b, and c in the quadratic expression u^2 + 7u + 10. The quadratic expression is in the form of au^2 + bu + c. For our expression, a = 1, b = 7, and c = 10.Find Multiplying Numbers: Find two numbers that multiply to a*c (which is 10) and add up to b (which is 7). We need to find two numbers that multiply to 10 and add up to 7. The numbers 2 and 5 satisfy these conditions because 2 * 5 = 10 and 2 + 5 = 7.Write Quadratic Expression: Write the quadratic expression using the two numbers found in Step 2. We can express u^2 + 7u + 10 as u^2 + 2u + 5u + 10.Factor by Grouping: Factor by grouping. Group the terms to factor by grouping: (u^2 + 2u) + (5u + 10).Factor Common Factors: Factor out the common factors from each group. From the first group (u^2 + 2u), we can factor out a u, giving us u(u + 2). From the second group (5u + 10), we can factor out a 5, giving us 5(u + 2).Write Factored Form: Write the factored form using the common binomial. Since both groups contain the common binomial (u + 2), we can factor it out to get the final factored form: (u + 2)(u + 5).

Factor. $\newline$ $u^2 + 7u + 10$

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Factor.\newlineu2+7u+10u^2 + 7u + 10u2+7u+10

Factor. $\newline$ $u^2 + 7u + 10$