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16 May, 09:06

The polynomial 2x^3-5x^2+4x-10 is split into two groups, 2x^3+4x and - 5x^2-10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

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  1. 16 May, 09:41
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    Step-by-step explanation:

    2x^3+4x = 2x (x²+2)

    -5x^2-10 = - 5 (x²+2)

    so : 2x^3-5x^2+4x-10 = 2x (x²+2) - 5 (x²+2) = (x²+2) (2x-5)
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