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7 November, 14:32

Factor completely. 2x^4+4x^3-30x^2

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  1. 7 November, 14:46
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    Step-by-step explanation:

    2x⁴ + 4x³ - 30x² = 2x² * (x² + 2x - 15)

    x² + 2x - 15

    Sum = 2

    Product = - 15

    Factors = 5; (-3)

    x² + 2x - 15 = x² + 5x - 3x - 3 * 5

    = x (x + 5) - 3 (x + 5)

    = (x + 5) (x - 3)

    2x⁴ + 4x³ - 30x² = (2x²) (x + 5) (x - 3)
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