Question

Use synthetic substitution to evaluate the polynomial P(x) = x³ - 3x² + 3x - 5 for x = 3.

Answer 1

To evaluate the polynomial P(x) = x³ - 3x² + 3x - 5 for x = 3, use synthetic substitution to substitute x with 3 in the polynomial and evaluate the result.

Step-by-step explanation:

To evaluate the polynomial P(x) = x³ - 3x² + 3x - 5 for x = 3, we can use synthetic substitution.

Step 1: Start with the given polynomial P(x) = x³ - 3x² + 3x - 5.

Step 2: Replace x with 3 in the polynomial.

Step 3: Evaluate the polynomial with the substituted value to find the result.

In this case, P(3) = (3)³ - 3(3)² + 3(3) - 5 = 27 - 27 + 9 - 5 = 4.

Therefore, the value of the polynomial P(x) = x³ - 3x² + 3x - 5 for x = 3 is 4.