Respuesta :

Answer:

64

Step-by-step explanation:

Given:

The perfect square, that starts with: x² -16x

We need to find the missing constant term

Let the missing term be k

Since x² - 16x + k is perfect square, it can be shown as:

  • (x - n)² = x² - 2nx + n²

Comparing this with the original polynomial, we see that:

  • 2n= 16

Then:

  • n=16/2 = 8 ⇒ n²= 8² = 64
  • k= 64

The missing term is 64 and the perfect square is:

  • x² - 16x + 64 = (x - 8)²
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