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QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 3 • Algebra I

Which is the completely factored form of 4 x cubed plus 10 x squared minus 6 x ?

Answer
A
2 x open paren x minus 3 close paren open paren 2 x minus 1 close paren
B
2 open paren x plus 3 close paren open paren 2 x minus 1 close paren
C
2 x open paren x plus 3 close paren open paren 2 x minus 1 close paren
D
2 open paren x minus 3 close paren open paren 2 x plus 1 close paren

Explanation

First factor out the greatest common factor, 2x: 4x³ + 10x² − 6x = 2x(2x² + 5x − 3). The quadratic factors as (x + 3)(2x − 1), since their product gives 2x² + 5x − 3. Therefore, the completely factored form is 2x(x + 3)(2x − 1), choice C.

AI-written and checked against the verified answer.

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