Find the quotient and remainder when p(x)= $x^{3} - 3 x^{2} + 5 x - 3$ is divided by g(x)= $x^{2} - 2$

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Solution

$p (x) = x^{3} - 3 x^{2} + 5 x - 3$
$g (x) = x^{2} - 2$
We have to find $\frac{p (x)}{g (x)}$

Now $p (x) = (x^{2} - 2) (x - 3) + (7 x - 9)$
Quotient $Q = x - 3$
Remainder $R = 7 x - 9$

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Similar questions

p (x)

g (x)

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

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

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

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

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

x^{2}

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

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

Question 1 (i)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

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

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