Question

if x 4 + 2 x 3 + 8 x 2 + 12 + 18 when divided by X 2 + 5 the remainder is p x + Q find p and q

Answer 1

when,
${x}^{4} + 2 {x}^{3} + 8 {x}^{2} + 12x + 18$
is divided by,
${x}^{2} + 5$
we get,
${x}^{2} + 2x + 3$
remainder ,will be
$2x + 3$
on comparing the remainder with,
p x + q

we get,
p=2. &
q=3

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