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What is the value of P(1) for the polynomial P(x) = 2x^2 + 3x - 5?

Practice Questions

Q1
What is the value of P(1) for the polynomial P(x) = 2x^2 + 3x - 5?
  1. 0
  2. 1
  3. -1
  4. 4

Questions & Step-by-Step Solutions

What is the value of P(1) for the polynomial P(x) = 2x^2 + 3x - 5?
  • Step 1: Identify the polynomial P(x) = 2x^2 + 3x - 5.
  • Step 2: Substitute x = 1 into the polynomial. This means we replace every x in P(x) with 1.
  • Step 3: Calculate P(1) by performing the operations: P(1) = 2(1)^2 + 3(1) - 5.
  • Step 4: Calculate (1)^2, which is 1.
  • Step 5: Multiply 2 by 1 to get 2.
  • Step 6: Calculate 3(1), which is 3.
  • Step 7: Now combine the results: P(1) = 2 + 3 - 5.
  • Step 8: Add 2 and 3 to get 5.
  • Step 9: Subtract 5 from 5 to get 0.
  • Step 10: Therefore, the value of P(1) is 0.
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