4
QuizMultiple Choice

Graphing Polynomial Functions

Question 4 • FL-1200330-Algebra 2 CR

Which is the completely factored form of 18x4 – 42x3 + 24x2?

Answer
A
3x(3x – 4)(2x – 2)
B
3x2(3x – 4)(2x – 2)
C
6x(3x – 4)(x – 1)
D
6x2(3x – 4)(x – 1)

Explanation

First factor out the greatest common factor, 6x²: 18x⁴ − 42x³ + 24x² = 6x²(3x² − 7x + 4). The quadratic factors as (3x − 4)(x − 1), since their product is 3x² − 7x + 4. Thus the completely factored form is 6x²(3x − 4)(x − 1), choice D.

AI-written and checked against the verified answer.

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