bonitaray376 bonitaray376
  • 23-11-2021
  • Mathematics
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Please help
What value of b makes the trinomial below a perfect square?

X^2-bx+16

Please help What value of b makes the trinomial below a perfect square X2bx16 class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 23-11-2021

Answer:

  • D) 8

Step-by-step explanation:

Given trinomial:

  • x² - bx + 16

It has two perfect squares  and a variable with negative coefficient.

It can be representing a:

  • (m - n)² = m² - 2mn + n²

If we substitute m with x and n with 4,  we'll get 2mn = 2*x*4 = 8x.

This gives us b = 8

  • (x - 4)² = x² - 8x + 16
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