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What is the value of the polynomial P(x) = 5x^2 - 3x + 7 at x = -1?

Practice Questions

Q1
What is the value of the polynomial P(x) = 5x^2 - 3x + 7 at x = -1?
  1. 15
  2. 13
  3. 9
  4. 11

Questions & Step-by-Step Solutions

What is the value of the polynomial P(x) = 5x^2 - 3x + 7 at x = -1?
  • Step 1: Identify the polynomial P(x) = 5x^2 - 3x + 7.
  • Step 2: Substitute x = -1 into the polynomial. This means we replace every x in the polynomial with -1.
  • Step 3: Calculate each term: First, calculate 5(-1)^2. Since (-1)^2 = 1, this becomes 5 * 1 = 5.
  • Step 4: Next, calculate -3(-1). This becomes 3 because -3 times -1 is 3.
  • Step 5: Now, add the constant term 7.
  • Step 6: Combine all the results: 5 + 3 + 7.
  • Step 7: Calculate the final result: 5 + 3 = 8, and then 8 + 7 = 15.
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