9
QuizMultiple Choice

Factoring Polynomials Completely

Question 9 • Common Core Algebra I B-IC

Tomas factored the polynomial completely. What is true about his final product?3x4−18x3+9x2−54xAx(x2+B)(x+C)

Answer
A
A and B are both 6.
B
A and B are both 3.
C
B and C are both positive.
D
B and C are both negative.

Explanation

First factor out the greatest common factor, 3x: 3x(x³ − 6x² + 3x − 18). Group the remaining terms: x²(x − 6) + 3(x − 6) = (x² + 3)(x − 6). So the product is 3x(x² + 3)(x − 6), which means A = 3 and B = 3. Therefore, A and B are both 3.

AI-written and checked against the verified answer.

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