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If a polynomial f(x) = x^2 - 4x + 4, what is f(2)?

Practice Questions

Q1
If a polynomial f(x) = x^2 - 4x + 4, what is f(2)?
  1. 0
  2. 1
  3. 2
  4. 4

Questions & Step-by-Step Solutions

If a polynomial f(x) = x^2 - 4x + 4, what is f(2)?
Correct Answer: 0
  • Step 1: Identify the polynomial function f(x) = x^2 - 4x + 4.
  • Step 2: Substitute the value 2 into the function for x, so we calculate f(2).
  • Step 3: Replace x with 2 in the polynomial: f(2) = 2^2 - 4*2 + 4.
  • Step 4: Calculate 2^2, which is 4.
  • Step 5: Calculate -4*2, which is -8.
  • Step 6: Now, combine the results: f(2) = 4 - 8 + 4.
  • Step 7: First, calculate 4 - 8, which equals -4.
  • Step 8: Finally, add -4 + 4, which equals 0.
  • Step 9: Therefore, f(2) = 0.
  • Polynomial Evaluation – The question tests the ability to evaluate a polynomial function at a specific value.
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