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What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?

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Question: What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?

Options:

  1. 2
  2. 4
  3. 6
  4. 8

Correct Answer: 6

Solution: 

Substituting x = 2 into P(x) gives P(2) = 2^3 - 3(2^2) + 4 = 8 - 12 + 4 = 0.

What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?

Practice Questions

Q1
What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?
  1. 2
  2. 4
  3. 6
  4. 8

Questions & Step-by-Step Solutions

What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?
  • Step 1: Identify the polynomial function P(x) = x^3 - 3x^2 + 4.
  • Step 2: Substitute x = 2 into the function to find P(2).
  • Step 3: Calculate 2^3, which is 8.
  • Step 4: Calculate 3(2^2), which is 3 times 4, giving 12.
  • Step 5: Now, combine the results: P(2) = 8 - 12 + 4.
  • Step 6: First, do the subtraction: 8 - 12 = -4.
  • Step 7: Then, add 4 to -4: -4 + 4 = 0.
  • Step 8: Therefore, the value of P(2) is 0.
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