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Question
A polynomial in ‘x’ is divided by (x – a) and for (x – a) to be a factor of this polynomial, the remainder should be ______.
Options
– a
0
a
2a
Solution
A polynomial in ‘x’ is divided by (x – a) and for (x – a) to be a factor of this polynomial, the remainder should be 0.
Explanation:
For (x – a) to be a factor of a polynomial P(x), the remainder when P(x) is divided by (x – a) should be 0. This is based on the Factor Theorem, which states that (x – a) is a factor of P(x) if and only if P(a) = 0.
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