free97 free97
  • 02-05-2020
  • Mathematics
contestada

Question 9. Factor x^2 - 6x + 9.
A
(x - 3)
B
(x - 3)(x + 3)
C
(x - 3)^2
D
9x + 3)^2

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2020

Answer:

C

Step-by-step explanation:

Given

x² - 6x + 9

Consider the factors of the constant term (+ 9) which sum to give the coefficient of the x- term (- 6)

The factors are - 3 and - 3, since

- 3 × - 3 = + 9 and - 3 - 3 = - 6, thus

x² - 6x + 9 = (x - 3)(x - 3) = (x - 3)² → C

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lucasella
lucasella lucasella
  • 02-05-2020

a²-2*a*b+b²=(a-b)²

x²-6x+9=x²-2*x*3+3²=(x-3)²  C)

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