3
AssignmentMultiple Choice

The Rational Roots Theorem

Question 3 • AZ-Common Core Algebra II A

Expand the expression.2x2(x + 3)(x–2)

Answer
A
2x3 + 2x2 – 12x
B
4x3 + 6x2 – 4x2
C
2x4 + 2x3 – 12x2

Explanation

First multiply the binomials: (x + 3)(x − 2) = x² + x − 6. Then multiply each term by 2x²: 2x²(x² + x − 6) = 2x⁴ + 2x³ − 12x². This matches choice C, 2x⁴ + 2x³ − 12x².

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