What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?


Asked by maham237 @ in Mathematics viewed by 320 People


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

Answered by maham237 @



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


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