Find the quatient and the remainder when\

$f (x) = x^{4} - 3 x^{2} + 4 x + 5$ is divided by $g (x) = x^{2} + 1 - x .$

Open in App

Solution

$x^{2} + x - 3$
$x^{2} - x + 1) ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ x^{4} + 0 x^{3} - 3 x^{2} + 4 x + 5 x^{4} - x^{3} + x^{2} ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ x^{3} - 4 x^{2} + 4 x + 5 x^{3} - x^{2} + x$
$¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ - 3 x^{2} + 3 x + 5 - 3 x^{2} + 3 x - 3 ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 8$

Suggest Corrections

Similar questions

f (x) = x^{4} - 3 x^{2} + 4 x + 5

g (x) = x^{2} + 1 - x

p (x) = x^{4} - 3 x^{2} + 4 x + 5

g (x) = x^{2} + 1 - x

q (x)

r (x)

f (x)

g (x)

f (x) = x^{3} - 3 x^{2} - x + 3

g (x) = x^{2} - 4 x + 3

f (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x

q (x)

r (x)

f (x)

g (x)

p (x) = x^{6} + x^{4} - x^{2} - 1

g (x) = x^{3} - x^{2} + x - 1

Join BYJU'S Learning Program