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One factor of this polynomial is (2x − 1). 2x^3+5x^2-27x+12. Use long division to determine which expression represents the other factor.

 Sep 19, 2020
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One factor of this polynomial is (2x − 1). 2x^3+5x^2-27x+12. Use long division to determine which expression represents the other factor.

 

Hello Guest!

 

\((2x^3+5x^2-27x+12)\) : \((2x-1)\) = \( x^2+3x-15\) 

\(\underline{2x^3-\ x^2}\)

            \(6x^2-\ 27x\)

            \(\underline{6x^2\ +\ 3x}\)

                     \(-30x +\ 12\)

                     \(\underline{-30x+15}\)

                                    \(-3\)

 

\((2x^3+5x^2-27x+12)\) = \( (x^2+3x-15\) - \(\large \frac{3}{2x-1}\)\(\times (2x-1)\) 

laugh  !

 Sep 19, 2020
edited by asinus  Sep 19, 2020

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