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When f(x) = 12x3 – 13x2 – 5x + 7 is divided by (3x + 2), then the remainder is
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- 2
- 0
- –1
- 1
- 2
Correct Option: D
By remainder theorem,
| Remainder = f |  |  | ||
| 3 |
∵ f(x) = 12x3 – 13x2 – 5x + 7
| ∴ f | | | = 12 | | | 3 | - 13 | | | 2 | - 5 | | | + 7 | ||||
| 3 | 3 | 3 | 3 |
| Remainder = - | - | + | + 7 | |||
| 27 | 9 | 3 |
| Remainder = - | - | + | + 7 | |||
| 9 | 9 | 3 |
| Remainder = | = | = 1 | ||
| 9 | 9 |
Second Method :
