x^2 – 11x + 18
(x – 2)(x – 9)
To factor x^2 – 11x + 18, we need to find two numbers that multiply to 18 and add up to -11. We can use a trial and error method or apply the quadratic formula to find these two numbers. However, in this case, we can quickly spot that the two numbers are -2 and -9 since -2 * -9 = 18 and -2 + (-9) = -11.
Therefore, we can write x^2 – 11x + 18 as (x – 2)(x – 9). Factoring can be helpful in solving quadratic equations, simplifying expressions, and graphing functions, among other things.
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