Questions: x^2-12x+27

Transcript text: $x^{2}-12 x+27$

Solution

Solution Steps

Step 1: Factor the Polynomial

We start with the polynomial expression $ x^{2} - 12x + 27 $. To factor this expression, we look for two numbers that multiply to $ 27 $ (the constant term) and add up to $ -12 $ (the coefficient of the linear term).

Step 2: Identify the Factors

The numbers that satisfy these conditions are $ -9 $ and $ -3 $. Therefore, we can express the polynomial as: \[ x^{2} - 12x + 27 = (x - 9)(x - 3) \]

Final Answer

The factorized form of the polynomial $ x^{2} - 12x + 27 $ is: \[ \boxed{(x - 9)(x - 3)} \]

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