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AssignmentMultiple Choice

Synthetic Division and the Remainder Theorem

Question 1 • FL-1200330-Algebra 2 CR

What is 3x3 – 11x2 – 26x + 30 divided by x – 5?

Answer
A
3x2 – 4x + 6
B
3x2 + 4x – 6
C
3x2 + 26x + 8
D
3x2 – 26x + 8

Explanation

Divide 3x³ − 11x² − 26x + 30 by x − 5 using synthetic division with 5. The coefficients give 3, 4, and −6, with a remainder of 0, so the quotient is 3x² + 4x − 6. The correct choice is B.

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