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

D) 28x+30

Explanation:

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Answer 2

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`