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05-09-2020
Mathematics

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By using long division, divide 4x3 + x2 – 36x - 9 by 4x + 1.

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05-09-2020

Answer:

[tex]\frac{4x^{3}+x^{2}-36x-9}{4x+1}=\frac{x^{2}(4x+1)-9(4x+1)}{4x+1}\\ \\=\frac{(4x+1)(x^{2}-9)}{4x+1}\\ \\=x^{2}-9\\ \\=(x-3)(x+3)[/tex]

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