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# help with polynomial

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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!

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

$$\underline{2x^3-\ x^2}$$

$$6x^2-\ 27x$$

$$\underline{6x^2\ +\ 3x}$$

$$-30x +\ 12$$

$$\underline{-30x+15}$$

$$-3$$

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

!

Sep 19, 2020
edited by asinus  Sep 19, 2020