MCQ
When p(x) = x3 - ax2 + x is divided by (x - a), the remainder is:
- A0
- Ba
- C2a
- D3a
✓
Answer
- a
Solution:
p(x) = x3 - ax2 + x
x - a = 0 ⇒ x = a
By the remainder theorem, we know that when p(x) is divided by (x - a), the remainder is p(a).
Now, p(a) = a3 - ax2 + a
= a3 - a3 + a
= a
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