Divide the polynomial $f (x) = 14 x^{3} - 5 x^{2} + 9 x - 1$ by the polynomial $g (x) = 2 x - 1$ . Also find the quotient and remainder.

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Solution

$7 x^{2} + x + 5 \to$ quotient
$2 x - 1) ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ {14 x}^{3} - 5 x^{2} + 9 x - 1 1 {4 x}^{2} - 7 x^{2} - +___________{2 x}^{2} + 9 x {2 x}^{2} - x - +_10 x - 1 10 x - 5 - +___________4 R e m a i n d e r .$

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Similar questions

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

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

r (x) = 9 x + 10

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

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

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