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17-11-2017
Mathematics

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Write the polynomial in factored form. 4x3 + 8x2 – 96x

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17-11-2017

4x^3+8x^2-96x = 4x(x-4)(x+6)

Explanation:

4x^3, 8x^2 and 96x have 4x as a common factor. Hence

4x^3+8x^2-96x = 4x*(x^2+2x-24)

Furthermore, (x^2+2x-24)= (x-4)(x+6)
because 6-4=2 and 6*(-4) = -24.
So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6).

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