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What is the value of the polynomial P(x) = 4x^2 - 3x + 7 when x = 2?

Practice Questions

Q1
What is the value of the polynomial P(x) = 4x^2 - 3x + 7 when x = 2?
  1. 25
  2. 27
  3. 23
  4. 21

Questions & Step-by-Step Solutions

What is the value of the polynomial P(x) = 4x^2 - 3x + 7 when x = 2?
  • Step 1: Identify the polynomial P(x) = 4x^2 - 3x + 7.
  • Step 2: Substitute x = 2 into the polynomial. This means replacing every x in the polynomial with 2.
  • Step 3: Calculate 2^2, which is 4.
  • Step 4: Multiply 4 by 4 (from 4x^2), which gives 16.
  • Step 5: Multiply -3 by 2 (from -3x), which gives -6.
  • Step 6: Now, add the results together: 16 (from 4x^2) - 6 (from -3x) + 7.
  • Step 7: First, calculate 16 - 6, which equals 10.
  • Step 8: Finally, add 10 + 7, which equals 17.
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