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Use the long division method to find the result when 4x^4+20x^3+27x^2−2x−10 is divided by 4x ^2-1

Sagot :

et762572

Answer: [tex]=x^2+5x+7+\frac{3x-3}{4x^2-1}[/tex]

Step-by-step explanation:

[tex]\frac{4x^4+20x^3+27x^2-2x-10}{4x^2-1}[/tex]

[tex]=x^2+\frac{20x^3+28x^2-2x-10}{4x^2-1}[/tex]

[tex]=x^2+5x+\frac{28x^2+3x-10}{4x^2-1}[/tex]

[tex]=x^2+5x+7+\frac{3x-3}{4x^2-1}[/tex]

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