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.
+14913 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.
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\((2x^3+5x^2-27x+12)\) : \((2x-1)\) = \( x^2+3x-15\)
\(\underline{2x^3-\ x^2}\)
\(6x^2-\ 27x\)
\(\underline{6x^2\ +\ 3x}\)
\(-30x +\ 12\)
\(\underline{-30x+15}\)
\(-3\)
\((2x^3+5x^2-27x+12)\) = \( (x^2+3x-15\) - \(\large \frac{3}{2x-1}\)) \(\times (2x-1)\)
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