Question

divide 6x³-11x²+7x+5 by 2x-3 division method​

Answer 1

Answer:

6x³-11x²+7x+5÷2x-3

3x²-x+5

Answer 2

The quotient is $3x^{2} -x+2$ and the remainder is $11$.

Step-by-step explanation:

Given:

The given expression is $6x^{3} -11x^{2} +7x+5$.

To find:

To divide the given expression $6x^{3} -11x^{2} +7x+5$ by $2x-3$ the division method​.

Solution:

             $3x^{2} -x+2$

$2x-3\sqrt{6x^{3} -11x^{2} +7x+5}$

         $-(6x^{3}-9x^{2} )$

        _________________

                    $-2x^{2} +7x$

                 $-(-2x^{2} +3x)$

         _________________

                                 $4x+5$

                              $-(4x-6)$

          _________________

                                         $11$

Hence, $3x^{2} -x+2$ is the quotient and $11$ is the remainder.

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