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If $p (x) = 3 x^{2} - x + 2$ is divided by $(3 x + 1)$ , what is the remainder?

Class 9Remainder TheoremPolynomials

A $\frac{8}{3}$
B2
C $\frac{10}{3}$
D3

Step-by-Step Solution

3 x + 1 = 0

gives

x = - \frac{1}{3}

. p

(- \frac{1}{3}) = 3 (\frac{1}{9}) - (- \frac{1}{3}) + 2 = \frac{1}{3} + \frac{1}{3} + 2 = \frac{2}{3} + 2 = \frac{8}{3}

.

Answer: A)

\frac{8}{3}

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