Question

The remainder of 3x³ – 2x² + x + 2 when divided by 3x + 1 is

A) 4/3

B) 3/4

C) -4/3

D) None

Answer 1

Correct option is (A) 4/3

\(\frac{3x^3-2x^2+x+2}{3x+1}\) \(=x^2-x+\frac23+\frac{\frac43}{3x+1}\)

Thus, when we divides \((3x^3-2x^2+x+2)\) by (3x+1) then quotient \(=x^2-x+\frac23\) and remainder \(=\frac{4}{3}.\)

Answer 2

Correct option is A) 4/3