Factor Completelyminus, 4, u, squared, plus, 36, u, plus, 40−4u 2 +36u+40
Question
Factor Completelyminus, 4, u, squared, plus, 36, u, plus, 40−4u 2 +36u+40
Solution
The expression you provided is -4u^2 + 36u + 40. To factor this completely, follow these steps:
Step 1: Factor out the greatest common factor (GCF). In this case, the GCF is -4. So, the expression becomes -4(u^2 - 9u - 10).
Step 2: Now, factor the quadratic expression inside the parentheses. This can be done by finding two numbers that multiply to -10 (the constant term) and add to -9 (the coefficient of the middle term). The numbers that satisfy these conditions are -10 and 1. So, the expression becomes -4(u - 10)(u + 1).
So, the completely factored form of -4u^2 + 36u + 40 is -4(u - 10)(u + 1).
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