Final answer:
To find the value of f(-3) using synthetic division, substitute -3 into the function f(x) and perform the synthetic division.
Step-by-step explanation:
To find the value of f(-3) using synthetic division, we substitute -3 into the function f(x) and perform the synthetic division. The function f(x) = 2x^5 - 3x^4 + 2x^3 - x + 8.
Step 1: Set up the synthetic division with -3 as the divisor.
Step 2: Write the coefficients of the function as the dividend (2, -3, 2, -1, 0, 8).
Step 3: Perform the synthetic division to find the remainder. The remainder is the value of f(-3).
Using synthetic division, we get a remainder of 93. Therefore, f(-3) = 93.