Find the remainder when $- 2 x^{3} - 2 x^{2} + 27 x - 30$ is divided by $2 - x$ .

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Solution

The correct option is A $0$
Quotient----->
$2 x^{2} + 6 x - 15$
-x + 2 $- 2 x^{2} - 2 x^{2} + 27 x - 30$
$- 2 x^{3} + 4 x^{2}$
$- 6 x^{2} + 27 x - 30$
$- 6 x^{2} + 12 x$
-----------------------------------
$15 x - 30$
$15 x - 30$
-------------------
0

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Quotient----->	$2 x^{2} + 6 x - 15$
-x + 2	$- 2 x^{2} - 2 x^{2} + 27 x - 30$ $- 2 x^{3} + 4 x^{2}$
	$- 6 x^{2} + 27 x - 30$ $- 6 x^{2} + 12 x$ ----------------------------------- $15 x - 30$ $15 x - 30$ ------------------- 0

Find the remainder when −2x3−2x2+27x−30 is divided by 2−x.

The correct option is A 0Quotient-----> 2x2+6x−15 -x + 2 −2x2−2x2+27x−30 −2x3+4x2 −6x2+27x−30 −6x2+12x-----------------------------------15x−3015x−30-------------------0

Find the remainder when $- 2 x^{3} - 2 x^{2} + 27 x - 30$ is divided by $2 - x$ .

The correct option is A $0$
Quotient----->
$2 x^{2} + 6 x - 15$
-x + 2 $- 2 x^{2} - 2 x^{2} + 27 x - 30$
$- 2 x^{3} + 4 x^{2}$
$- 6 x^{2} + 27 x - 30$
$- 6 x^{2} + 12 x$
-----------------------------------
$15 x - 30$
$15 x - 30$
-------------------
0