Question

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)? A)30 B)3x – 11 C)28x – 36 D)28x + 30

Answer 1

The correct option is:   D) 28x+30

Explanation

We will divide $(3x^3 - 2x^2 + 4x - 3)$  by $(x^2 + 3x + 3)$ using long division method.

                                3x- 11

$x^2+3x+3) \overline{3x^3-2x^2+4x-3}$

                      -(3x³+9x²+9x)      

                              -11x²- 5x - 3

                            -(-11x²- 33x - 33)    

                                     28x +30

So, the remainder will be:  $28x+30$

Answer 2

the answer is 28x + 30