haleywillaert haleywillaert

01-03-2019
Mathematics

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Factor 2x^2-4x-30 completely. A. 2(x-5)(x+3) B. (2x-5)(x+3) C. (2x+3)(x-5) D. 2(x-3)(x+5)

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01-03-2019

Answer:

2(x - 5)(x + 3)

Step-by-step explanation:

[tex]2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)[/tex]

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