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Question: Evaluate f(x) at x = -3, by synthetic division.
f(x ) = x³ - 3x² + 2x + 2.

A ) -8
B ) -58
C ) -43
D ) -52

Steps to derive

1 f(x) = x³ - 3x² + 2x + 2

2 Use the synthetic division.

3 -3| 1 -3 2 2
-3 18 -60
----------------------------
1 -6 20 -58
----------------------------

4 f(-3) = -58
Hence the right answer is Option B
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