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19 September, 19:01

Which product of prime polynomials is equivalent to 4x5 - 6x4 + 4x3 - 6x2?

1.2x2 (x2 + 1) (2x - 3)

2.2x2 (x2 - 1) (2x + 3)

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

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

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  1. 19 September, 21:41
    0
    4 x^5 - 6 x^4 + 4 x³ - 6 x² =

    = 2 x² (2 x³ - 3 x² + 2 x - 3) =

    = 2 x² (2 x³ + 2 x - 3 x² - 3) =

    = 2 x² (2 x (x² - 1) - 3 (x² - 1))

    Answer: 1) 2 x² (x² - 1) (2 x - 3)
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