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Divide $p (x) = 3 x^{3} + x^{2} + 2 x + 5$ by $g (x) = x^{2} + 2 x + 1$ .
What is the quotient?

Class 10Division AlgorithmAlgebra — Polynomials

A $3 x - 5$
B $3 x + 5$
C $3 x - 1$
D $3 x + 1$

Step-by-Step Solution

Long division:

3 x^{3} + x^{2} + 2 x + 5 = (x^{2} + 2 x + 1) (3 x - 5) + (9 x + 10)

. Quotient =

3 x - 5

.

Answer: A)

3 x - 5

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