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Arjun divides $p (x) = x^{3} - 3 x^{2} + 5 x - 3$ by $g (x) = x^{2} - 2$ .
Using long division, what is the quotient q $(x)$ ?

Class 10Division AlgorithmAlgebra — Polynomials

A $x - 3$
B $x + 3$
C $x^{2} - 3$
D $x - 1$

Step-by-Step Solution

Dividing:

x^{3} - 3 x^{2} + 5 x - 3

by

x^{2} - 2

gives quotient

x - 3

and remainder

7 x - 9

. So

q (x) = x - 3

.

Answer: A)

x - 3

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