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Answer:

A. (x − 4)(x − 12)

Step-by-step explanation:

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Factored form of the given polynomial x² - 16x +48 is ( x -12)(x - 4).

What is factorization?

"Factorization is the process of breaking down a number or a polynomial into smaller parts such that after multiplying will get the original number."

According to the question,

x² - 16x +48

Factors of 48 = 12 × 4

                 16 = 12 + 4

Factored form of given polynomial is equals to

   x² -12x - 4x +48

⇒x(x - 12) - 4(x -12)

( x - 12)(x - 4)

Hence, factored form of the  polynomial x² - 16x +48 is ( x -12)(x - 4).

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