Sl.	$p (x)$	$g (x)$	$q (x)$	$r (x)$
i	?	$x - 2$	$x^{2} - x + 1$	$4$
ii	?	$x + 3$	$2 x^{2} + x + 5$	$3 x + 1$
iii	?	$2 x + 1$	$x^{3} + 3 x^{2} - x + 1$	$0$
iv	?	$x - 1$	$x^{3} - x^{2} - x - 1$	$2 x - 4$
v	?	$x^{2} + 2 x + 1$	$x^{4} - 2 x^{2} + 5 x - 7$	$4 x + 12$

On dividing f(x) = x³ - 3x² + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (-2x + 4) respectively, then g(x) is

If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ and divisor = $(x - 1)$ , find the quotient, $q (x)$ and remainder $r (x)$ .

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Find the quotient q(x) and remainder r(x) of the following when f(x) is divided by g(x).f(x)=x4+2x2+1;g(x)=x3+1

The correct option is A q(x)=x and r(x)=2x2−x+1We divide f(x)=x4+2x2+1 by g(x)=x3+1 as shown in the above division.Hence, the quotient q(x)=x and the remainder r(x)=2x2−x+1.

Find the quotient $q (x)$ and remainder $r (x)$ of the following when $f (x)$ is divided by $g (x)$ .
$f (x) = x^{4} + 2 x^{2} + 1; g (x) = x^{3} + 1$

The correct option is A $q (x) = x$ and $r (x) = 2 x^{2} - x + 1$

We divide $f (x) = x^{4} + 2 x^{2} + 1$ by $g (x) = x^{3} + 1$ as shown in the above division.

Hence, the quotient $q (x) = x$ and the remainder $r (x) = 2 x^{2} - x + 1$ .