Answer:
Option D is correct.
Step-by-step explanation:
Given:
Dividend = 3x³ - 2x² + 4x - 3
Divisor = x² + 3x + 3
To find: Remainder
We use Long Division Method (Synthetic Division Method)
Step 1 : we find first factor which we get 3x as 3x × x² = 3x³ the first term of dividend. Now, we multiply it with divisor and subtract from dividend.
Step 2: after subtraction we get -11x² - 5x - 3 as new dividend
Step 3 : Now we find 2nd factor which is -11 as -11 × x² = -11x². Now, we multiply it with divisor and subtract from new dividend
Step 4: After step 3 we get 28x + 30 , which is our required remainder
Therefore, Option D is correct .i.e., Remainder is 28x + 30
