270,572 views
18 votes
18 votes
Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.

User MarisP
by
2.6k points

1 Answer

10 votes
10 votes

Answer:

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.

__

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

Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided-example-1
User Jan Fabry
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.