MCQ
If x51 + 51 is divided by x + 1, the remainder is:
- A0
- B1
- C49
- D50
✓
Answer
- 50
Solution:
When the polynomial p(x) is divided by q(x) i. e. $(\text{x}\pm\alpha)$ then $\text{p}(\mp\alpha)$ is the remainder.
If $\text{x}\pm\alpha$ is the factor of polynomial, then remainder is '0'.
So,
If x51 + 51 is divided x + 1.
Remainder = (-1)51 + 51 = -1 + 51 = 50.
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