Question

define define the reminder theoremA) the reminder theorem states that the reminder of division of P (X) by x-a is P (a) and that P (a) = 0 if and only if (x-a) is a factor of P (x)B) the reminder theorem states that the reminder of division of P (X) by x+a is P (a) and that P (a) = 0 if and only if (x+a) is a factor of P (x)C) the reminder theorem states that the reminder of division of P (X) by x-a is P (a) and that P (0) = a if and only if (x-a) is a factor of P (x)D) the reminder theorem states that the reminder of division of P (X) by x-a is P (0) and that P (0) = a if and only if (x-a) is a factor of P (x)

Answer 1

Answer is Option A.

Explanation:

Here, P(x) is the dividend and x-a is the divisor. The remainder obtained is P(a).

If x-a is a factor of P(x), the the remainder will be zero. That is P(a) is zero.

Hence, Option A is the answer.