Question

Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.

Answer 1

1

Explanation:

The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.

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Additional comment

Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.

3 -2 +1 -1 = 1