Respuesta :

Answer:

The factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0  are (x - 9)(x -3) .

The factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

What is the factored form of the polynomial?

Given that;

  • x² - 12x + 27
  • Factored form = ?

First, we think of two numbers where their addition gives -12 and their multiplication gives 27.

-3 and -9 fits perfectly.

Hence we have;

x² - 12x + 27

( x-3 )( x-9 )

Therefore, the factored form of the polynomial ( x² - 12x + 27 ) is ( x-3 )( x-9 ).

Learn more about factorizations here: brainly.com/question/1863222

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