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

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

Options:

Correct Answer: 13

Solution:

Substituting x = -1 gives P(-1) = 5(-1)^2 - 3(-1) + 7 = 5 + 3 + 7 = 15.

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

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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