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What is the missing constant term in the perfect square that starts with x^(2)-4x ? ◻

What is the missing constant term in the perfect square that starts with x2−4x x^{2}-4 x ?\newline□ \square

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Full solution

Q. What is the missing constant term in the perfect square that starts with x2−4x x^{2}-4 x ?\newline□ \square
  1. Identify Coefficient of xx: To form a perfect square trinomial from x2−4xx^2 - 4x, we need to add (b2)2(\frac{b}{2})^2, where bb is the coefficient of xx.
  2. Calculate Half of Coefficient: Here, b=−4b = -4. So, (b2)2=(−42)2=(−2)2(\frac{b}{2})^2 = (\frac{-4}{2})^2 = (-2)^2.
  3. Square Half of Coefficient: Calculating (−2)2(-2)^2 gives us 44.
  4. Determine Missing Constant Term: So, the missing constant term is 44.

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