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Solution


Q.

Which of these are the quotient and the remainder when (2x³ – 9x + 3x² + 12) is divided by (x – 1)
1 quotient = (2x² – 7x – 4) and remainder = 8  
2 quotient = (2x² + 7x + 4) and remainder = 16
 
3 quotient = (2x² + 5x – 4) and remainder = 8
 
4 quotient = (2x² + 5x + 4) and remainder = 16
 

Ans.

(3)

Divide dividend by divisor, we get:

x – 1 | 2x³ + 3x² – 9x + 12
        2x² + 5x – 4

So, the quotient is 2x² + 5x – 4 and remainder is 8.