16
QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 16 • Mathematics III

What is the factored form of 2 x cubed plus 4 x squared minus x ?

Answer
A
2 x open paren x squared plus 2 x plus 1 close paren
B
2 x open paren x squared plus 2 x minus 1 close paren
C
x times open paren 2 x squared plus 4 x plus 1 close paren
D
x times open paren 2 x squared plus 4 x minus 1 close paren

Explanation

Each term in 2x³ + 4x² − x has a common factor of x. Factoring out x gives x(2x² + 4x − 1). Multiplying this expression back out gives 2x³ + 4x² − x, so the factored form is x times the quantity 2x squared plus 4x minus 1.

AI-written and checked against the verified answer.

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