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2. Which of the following quadratic polynomials is a perfect square? Circle all. 2 points A. x2 - 49 B. x2 + 14x + 49 C. 25x2 – 10x + 1 D. 16x2 + 4x + 9​

Respuesta :

LoveorHate

Answer:

C

Step-by-step explanation:

Sorry if my answer is wrong this is my answer

mhanifa

Answer:

  • B and C

Step-by-step explanation:

Perfect square:

  • (a ± b)² = a² ± 2ab + b²

Verify the given polynomials:

  • A) x² - 49 ⇒ Not a perfect square
  • B) x² + 14x + 49 = x² + 2*7*x + 7² = (x + 7)² ⇒ Perfect square
  • C) 25x² - 10x + 1 = (5x)² - 2*5x*1 + 1² = (5x - 1)² ⇒ Perfect square
  • D) 16x² + 4x + 9 ⇒ Not a perfect square as 4 ≠ 2*4*3