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6x^3+11x^2-4x-4/3x-2 divide the polynomial

6x^3+11x^2-4x-4/3x-2 divide the polynomial
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6x^3+11x^2-4x-4/3x-2 divide the polynomial

User Mario Naether
by
8.3k points

2 Answers

3 votes

Answer:

2x^2+5x+2

Explanation:

User Eol
by
9.1k points
2 votes

(6x^3 + 11x^2 - 4x - 4)/(3x - 2) \\ \\ ((6x^2 - x - 2)(x + 2))/(3x - 2) \\ \\ ((6x^2 + 3x - 4x - 2(x + 2))/(3x - 2) \\ \\ ((3x(2x + 1) - 2(2x + 1))(x + 2))/(3x - 2) \\ \\ ((2x + 1)(3x - 2)(x + 2))/(3x - 2) \\ \\ (2x + 1)(x + 2) \\ \\

The final result is: (2x + 1)(x + 2).
User Farzad Yousefzadeh
by
7.5k points
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