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In Mathematics / Middle School | 2014-11-26

(Multiple choice) One factor of \(9x^4 - 6x^3 + 3x^2\) is:

A. \(9x^4\)
B. \(3x^2 - 2x\)
C. \(3x^2 - 6x + 3\)
D. \(3x^2 - 2x + 1\)

Asked by ThatBanana

Answer (2)

so it's like 'which one of the number given is a factor of, say, 10' and the choices are 4,5,7,9. the answer is 5 so just factor out the equation
the factored out form is factor out the 3x^2 and get (3x^2)(3x^2-2x+1) and 3x^2-2x+1 is the fourth choice

Answered by apologiabiology | 2024-06-10

The factorization of the expression 9 x 4 − 6 x 3 + 3 x 2 reveals that a valid factor is 3 x 2 − 2 x + 1 . This is derived by factoring out the greatest common factor, which is 3 x 2 . Hence, the correct choice is Option D.
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Answered by apologiabiology | 2024-09-30