5
QuizMultiple Choice

Factoring Polynomials: GCF

Question 5 • FL-1200310-Algebra 1 A

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Answer
A
3x3 + 2x2 – x + 3
B
3x3 + 2x2 – x – 3
C
3x3 + x2 – 6x + 9
D
3x3 + x2 + 6x – 9

Explanation

First multiply A and B: x²(3x + 2) = 3x³ + 2x². Then square C: (x − 3)² = x² − 6x + 9. Subtracting gives 3x³ + 2x² − (x² − 6x + 9) = 3x³ + x² + 6x − 9, which is choice D.

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