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What is the value of P(1) for the polynomial P(x) = x^3 - 3x^2 + 4?

Practice Questions

Q1
What is the value of P(1) for the polynomial P(x) = x^3 - 3x^2 + 4?
  1. 2
  2. 0
  3. 1
  4. 4

Questions & Step-by-Step Solutions

What is the value of P(1) for the polynomial P(x) = x^3 - 3x^2 + 4?
  • Step 1: Identify the polynomial P(x) = x^3 - 3x^2 + 4.
  • Step 2: Substitute x = 1 into the polynomial. This means we will replace every x in P(x) with 1.
  • Step 3: Calculate 1^3. This equals 1.
  • Step 4: Calculate 3(1^2). First, find 1^2 which equals 1, then multiply by 3 to get 3.
  • Step 5: Now, substitute these values into the polynomial: P(1) = 1 - 3 + 4.
  • Step 6: Perform the subtraction: 1 - 3 equals -2.
  • Step 7: Now add 4 to -2: -2 + 4 equals 2.
  • Step 8: Therefore, the value of P(1) is 2.
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