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AssignmentMultiple Choice

Sum and Difference of Two Cubes

Question 1 • AZ-Common Core Algebra II A

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 produce quotient coefficients 3, 4, and −6, with remainder 0, so the quotient is 3x² + 4x − 6. This matches choice B.

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