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3 votes
Which of the following shows the factorization of 3x⁴ - 6x³ + 4x² - 8x?

1) x(3x² - 4)(x - 2)
2) x(3x² - 4)(x + 2)
3) (3x² - 4)(x + 2)
4) x(3x - 4)(x + 2)

User Bolinfest
by
7.8k points

1 Answer

6 votes

Final answer:

None of the provided options accurately factorize the polynomial 3x⁴ - 6x³ + 4x² - 8x. It appears there might be an error in the options or in the original polynomial, as factoring out the greatest common factor of x does not lead to any of the options given.

Step-by-step explanation:

The student is asking about the factorization of the polynomial 3x⁴ - 6x³ + 4x² - 8x. To factorize this polynomial, first, we can factor out the greatest common factor (GCF) which is x. We are left with x(3x³ - 6x² + 4x - 8). Looking at the remaining cubic polynomial, we can attempt to factor by grouping. We would need to group terms to have a common factor or to form a pattern that is factorizable.

However, none of the provided options seem to correctly factorize the given polynomial. There might be a mistake in the factorization options or the original polynomial, as none of the options match an accurate factorization of the given polynomial.

User Ti Hausmann
by
8.9k points
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