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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Solution

Step:Compute the value of quotient and remainder.
$p (x) = x^{3} - 3 x^{2} + 5 x - 3, g (x) = x^{2} - 2$
As per given data Dividend $= p (x) = x^{3} - 3 x^{2} + 5 x - 3$
Divisor $= g (x) = x^{2} - 2$
Hence, on division we obtain quotient and remainder as $x - 3$ and $7 x - 9$ respectively.

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Similar questions

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

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

p (x)

g (x)

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

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

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

Q2. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. p(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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