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Arjun divides $p (x) = x^{3} - 3 x^{2} + 5 x - 3$ by $g (x) = x^{2} - 2$ .
What is the remainder r $(x)$ ?

Class 10Division AlgorithmAlgebra — Polynomials

A $7 x - 9$
B $5 x - 3$
C $7 x + 9$
D $- 7 x - 9$

Step-by-Step Solution

x^{3} - 3 x^{2} + 5 x - 3 = (x^{2} - 2) (x - 3) + (7 x - 9)

. So

r (x) = 7 x - 9

, with deg

r = 1 < 2

.

Answer: A)

7 x - 9

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