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AssignmentMultiple Choice

Synthetic Division and the Remainder Theorem

Question 1 • Adv. Algebra II S1 Original

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 the polynomial by x − 5 using synthetic division with 5. Starting with coefficients 3, −11, −26, and 30 gives quotient coefficients 3, 4, and −6, with remainder 0. Thus the result is 3x² + 4x − 6, choice B.

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