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	?	$x^{2} + 2 x + 1$	$x^{4} - 2 x^{2} + 5 x - 7$	$4 x + 12$

If p(x) = g(x) × q(x) + r(x), p(x) and g(x) are any two polynomials with g(x) $\neq$ 0, then we can find polynomials q(x) and r(x) by division algorithm.We should stop the division process when

Single choice question:
If p(x) = g(x) × q(x) + r(x), p(x) and g(x) are any two polynomials with g(x) $\neq$ 0, then we can find polynomials q(x) and r(x) by division algorithm.We should stop the division process when

Join BYJU'S Learning Program

Polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and deg r(x)=0, are

The correct option is B p(x)=x3+x+5;g(x)=x2+1;q(x)=x;r(x)=5.option (A) and (C) have deg r(x)=0,in this question p(x)=q(x)g(x)+r(x) is satisfied in only option (C).

Polynomials $p (x), g (x), q (x)$ and $r (x)$ , which satisfy the division algorithm and deg $r (x) = 0$ , are

The correct option is B $p (x) = x^{3} + x + 5; g (x) = x^{2} + 1$ ;
$q (x) = x; r (x) = 5$ .
option (A) and (C) have deg $r (x) = 0$ ,
in this question $p (x) = q (x) g (x) + r (x)$ is satisfied in only option (C).