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When $p (x)$ is divided by g $(x)$ , we get $p (x) = (x^{2} + 1) (3 x - 2) + (4 x + 5)$ .
What is the dividend $p (x)$ ?

Class 10Division AlgorithmAlgebra — Polynomials

A $3 x^{3} - 2 x^{2} + 7 x + 3$
B $3 x^{3} + 2 x^{2} + 7 x + 3$
C $3 x^{3} - 2 x^{2} + x + 3$
D $3 x^{3} - 2 x^{2} + 7 x - 3$

Step-by-Step Solution

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

. Adding

(4 x + 5) : 3 x^{3} - 2 x^{2} + 7 x + 3

.

Answer: A)

3 x^{3} - 2 x^{2} + 7 x + 3

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