Find the quotient and remainder when
$f (x) = x^{4} - 5 x + 6$ is divided by $g (x) = 2 - x^{2}$

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Solution

We can write

$f (x) as x^{4} + 0 x^{3} + 0 x^{2} - 5 x + 6$ and $g (x) as - x^{2} + 2$

Quotient $q (x) = - x^{2} - 2$
Remainder $r (x) = - 5 x + 10$

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Similar questions

Find the quotient and the remainder when

$f (x) = x^{4} - 5 x + 6$ is divided by $g (x) = 2 - x^{2}$

f (x) = x^{4} - 5 x + 6, g (x) = 2 - x^{2}

x^{3} - 3 x^{2} + 5 x - 3

x^{2} - 2

p (x)

g (x)

p (x) = x^{4} - 5 x + 6

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

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

x^{2}

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