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Answer :

Given:

12x³ + 26x²divided by 3x + 2.

Required:

Use the long division method to find the result when 12x³ + 26x²

divided by 3x + 2.

Explanation:

[tex]\begin{gathered} 3x+2\sqrt{12x^3+26x^2-15x-18} \\ \end{gathered}[/tex]

First we gonna divide it by 4x square we left with the equation

[tex]3x+2\sqrt{18x^2-15x-18}[/tex]

Then we gonnna divide it by 6x we get

[tex]3x+2\sqrt{-27x+18}[/tex]

Then we gonna divide it with -9 and we get the whole term is dividedand we left with the quotient

[tex]4x^2+6x-9[/tex]

Required answer:

[tex]4x^2+6x-9[/tex]