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Higher Order Equations

If a polynomi...

Question

If a polynomial $p (x) = x^{3} - 4 x^{2} + 6 x - 2$ is divided by $g (x) = x^{2} - 2$ , leaving a remainder of $r (x) = 8 x - 10,$ then the quotient is ____.

x+4

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2x-4

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x-4

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2x+4

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Solution

The correct option is C x-4

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Similar questions

Divide the polynomial $p (x)$ by the polynomial $g (x)$ and find the quotient and remainder of the following.

$p (x) = x^{3} - 3 x^{2} + 5 x - 3$ and $g (x) = x^{2} - 2$ .

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

g (x)

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

2 x^{2} + x + 1

r (x)

p (x)

g (x)

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

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

p (x)

g (x)

p (x) = x^{3} + 4 x^{2} - 6 x + 2; g (x) = x - 3

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

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