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in this lesson were going to focus on solving quadratic inequalities so lets get right into the material lets say if we have x squared minus x is greater than or equal to 12. what is the solution now when dealing with an equation x is equal to a specific number like 4 7 negative 2 0 but when dealing with inequalities x is equal to a range of answers and so we have to take a different approach now the first thing we need to do is get a zero on one side of the inequality so lets subtract both sides by 12. x squared minus x minus 12 is greater than or equal to zero now we can factor the expression so we have a trinomial where the leading coefficient is one how can we factor this trinomial we need to find two numbers that multiply to the constant term negative 12 but add to the middle coefficient negative one and those two numbers will be negative four and three negative four times three is negative twelve but negative four plus three is negative one so to factor it its going to be x
